Recognised as Number
-122,000
- Negative
- Even
- 6 digits
-122,000 is an even 6-digit integer and the negative of 122,000. It has 40 divisors and a digital root of 5.
Number properties
ParityEvendivisible by 2
SignNegative
Absolute value122,000
Digit count6
Digit sum5
Digit product0zero, because one of the digits is zero
Multiplicative persistence1times the digit product can be taken before one digit is left
Digital root5repeated digit sum
PalindromicNoreads differently backwards
Factors & divisors
Prime factorisation−1 × 2^4 × 5^3 × 61
Distinct prime factors32, 5, 61
Number of divisors40
Sum of divisors σ(n)299,832
SquarefreeNohas a repeated prime factor
All divisors1, 2, 4, 5, 8, 10, 16, 20, 25, 40, 50, 61, 80, 100, 122, 125, 200, 244, 250, 305, 400, 488, 500, 610, 976, 1,000, 1,220, 1,525, 2,000, 2,440, 3,050, 4,880, 6,100, 7,625, 12,200, 15,250, 24,400, 30,500, 61,000, 122,00040 in total
Arithmetic
Representations
Decimal-122,000
Binary1110111001001000017 bits
Octal356220
Hexadecimal1DC90
Base 362M4W
In wordsminus one hundred and twenty-two thousand
Ordinalminus one hundred and twenty-two thousandth
Scientific notation-1.22 × 10^5
Engineering notation-122 × 10^3
In other bases
Ternary20012100112base 3; the most digit-efficient integer base after e — 11 digits
Quinary12401000base 5; one hand — 8 digits
Septenary1015454base 7 — 7 digits
Nonary205315base 9; each digit is two ternary digits — 6 digits
Duodecimal5a728base 12; divides by 2, 3, 4 and 6, which is why eggs and inches come in twelves — 5 digits
Vigesimalf500base 20; hands and feet, and the Mayan and Yoruba systems — 4 digits
Sexagesimal33:53:20base 60; Babylonian, and still how an hour and a circle are divided — 3 digits
Balanced ternaryT10T11T0T111digits −1, 0 and +1 written T, 0 and 1; negation is swapping T and 1, so no sign is needed
Negabinary100110010010110000base −2; place values alternate 1, −2, 4, −8, so every integer has exactly one form without a sign
Bit-level
11111111111111100010001101110000
Bit length17 bitsto write the magnitude
Set bits8the population count, or Hamming weight
Zero bits9within that length
Bit parityeven8 set bits, so even; not the same as the number itself being even
Highest set bitbit 16worth 65,536
Lowest set bitbit 44 trailing zeros
Power of twoNo
Bytes301 dc 90
Gray code10011001011011000n XOR (n >> 1); successive values differ in exactly one bit
At each machine width
32-bit11111111111111100010001101110000two's complement
64-bit1111111111111111111111111111111111111111111111100010001101110000two's complement
One's complement00000000000000011101110010001111at 32 bits, every bit flipped
Bits reversed00001110110001000111111111111111at 32 bits
Rotated left by 111111111111111000100011011100001at 32 bits, wrapping
Shifted left by 1-111011100100100000= -244,000, no wrap
Shifted right by 1-1110111001001000= -61,000, discarding the low bit
These bits as a double6.02760088 × 10^-319≈IEEE-754 binary64 reinterpretation of the same 64 bits (subnormal)
Powers & multiples
-122,000 to the power 214,884,000,000
-122,000 to the power 3-1,815,848,000,000,000
-122,000 to the power 4221,533,456,000,000,000,000
-122,000 to the power 5-27,027,081,632,000,000,000,000,000
First ten multiples-122,000, -244,000, -366,000, -488,000, -610,000, -732,000, -854,000, -976,000, -1,098,000, -1,220,000
Powers of twoBetween 2^16 (65,536) and 2^17 (131,072)
Divisibility tests
Divisible by 2Yes
Divisible by 3No, remainder 2
Divisible by 4Yes
Divisible by 5Yes
Divisible by 6No, remainder 2
Divisible by 7No, remainder 4
Divisible by 8Yes
Divisible by 9No, remainder 5
Divisible by 10Yes
Divisible by 11No, remainder 10
Divisible by 12No, remainder 8
Divisible by 100Yes
As a percentage & fraction
As a percentage-12,200,000%
-122,000% as a decimal-1,220
-122,000% of 100-122,000
-122,000% of 1,000-1,220,000
As a fraction of 100-122,000/100
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