122,112
122,112 is a composite number, even.
122,112 (one hundred twenty-two thousand one hundred twelve) is an even 6-digit number. It is a composite number with 54 divisors, and factors as 2⁸ × 3² × 53. Its proper divisors sum to 236,610, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x1DD00.
Interestingness
Properties
- Parity
- Even
- Digit count
- 6
- Digit sum
- 9
- Digit product
- 8
- Digital root
- 9
- Palindrome
- No
- Bit width
- 17 bits
- Reversed
- 211,221
- Square (n²)
- 14,911,340,544
- Cube (n³)
- 1,820,853,616,508,928
- Divisor count
- 54
- σ(n) — sum of divisors
- 358,722
- φ(n) — Euler's totient
- 39,936
- Sum of prime factors
- 75
Primality
Prime factorization: 2 8 × 3 2 × 53
Divisors & multiples
Sums & aliquot sequence
Continued fraction of √n
√122,112 = [349; (2, 4, 14, 1, 1, 1, 5, 4, 1, 2, 10, 1, 2, 1, 4, 6, 1, 173, 1, 6, 4, 1, 2, 1, …)]
Period length 36 — the block in parentheses repeats forever.
Representations
- In words
- one hundred twenty-two thousand one hundred twelve
- Ordinal
- 122112th
- Binary
- 11101110100000000
- Octal
- 356400
- Hexadecimal
- 0x1DD00
- Base64
- Ad0A
- One's complement
- 4,294,845,183 (32-bit)
- Scientific notation
- 1.22112 × 10⁵
- As a duration
- 122,112 s = 1 day, 9 hours, 55 minutes, 12 seconds
As an angle
Historical numeral systems
- Babylonian (base 60)
- 𒌋𒌋𒌋𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹 𒌋𒁹𒁹
- Egyptian hieroglyphic
- 𓆐𓂍𓂍𓆼𓆼𓍢𓎆𓏺𓏺
- Greek (Milesian)
- ͵ρκβριβʹ
- Mayan (base 20)
- 𝋯·𝋥·𝋥·𝋬
- Chinese
- 一十二萬二千一百一十二
- Chinese (financial)
- 壹拾貳萬貳仟壹佰壹拾貳
Also seen as
Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 122112, here are decompositions:
- 13 + 122099 = 122112
- 31 + 122081 = 122112
- 43 + 122069 = 122112
- 59 + 122053 = 122112
- 61 + 122051 = 122112
- 71 + 122041 = 122112
- 73 + 122039 = 122112
- 79 + 122033 = 122112
Showing the first eight; more decompositions exist.
As an unsigned 32-bit integer, this is the IPv4 address 0.1.221.0.
- Address
- 0.1.221.0
- Class
- reserved
- IPv4-mapped IPv6
- ::ffff:0.1.221.0
Unspecified address (0.0.0.0/8) — "this network" placeholder.
This number falls in the range of US utility patent numbers. If it's a patent, it would be issued as US 122,112 and was likely granted around 1871.
Patent numbers below 100,000 are excluded as too ambiguous; modern numbering currently reaches roughly 12.5 million.
Related reading
- Babylonian numerals — The base-60 cuneiform system that gave us 60 minutes, 60 seconds, and 360°.