122,160
122,160 is a composite number, even.
122,160 (one hundred twenty-two thousand one hundred sixty) is an even 6-digit number. It is a composite number with 40 divisors, and factors as 2⁴ × 3 × 5 × 509. Its proper divisors sum to 257,280, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x1DD30.
Interestingness
Properties
- Parity
- Even
- Digit count
- 6
- Digit sum
- 12
- Digit product
- 0
- Digital root
- 3
- Palindrome
- No
- Bit width
- 17 bits
- Reversed
- 61,221
- Square (n²)
- 14,923,065,600
- Cube (n³)
- 1,823,001,693,696,000
- Divisor count
- 40
- σ(n) — sum of divisors
- 379,440
- φ(n) — Euler's totient
- 32,512
- Sum of prime factors
- 525
Primality
Prime factorization: 2 4 × 3 × 5 × 509
Divisors & multiples
Sums & aliquot sequence
Continued fraction of √n
√122,160 = [349; (1, 1, 17, 2, 2, 1, 3, 3, 1, 6, 1, 1, 15, 2, 1, 5, 9, 1, 2, 43, 2, 1, 9, 5, …)]
Period length 40 — the block in parentheses repeats forever.
Representations
- In words
- one hundred twenty-two thousand one hundred sixty
- Ordinal
- 122160th
- Binary
- 11101110100110000
- Octal
- 356460
- Hexadecimal
- 0x1DD30
- Base64
- Ad0w
- One's complement
- 4,294,845,135 (32-bit)
- Scientific notation
- 1.2216 × 10⁵
- As a duration
- 122,160 s = 1 day, 9 hours, 56 minutes
As an angle
Historical numeral systems
- Babylonian (base 60)
- 𒌋𒌋𒌋𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹 ·
- Egyptian hieroglyphic
- 𓆐𓂍𓂍𓆼𓆼𓍢𓎆𓎆𓎆𓎆𓎆𓎆
- Greek (Milesian)
- ͵ρκβρξʹ
- Mayan (base 20)
- 𝋯·𝋥·𝋨·𝋠
- Chinese
- 一十二萬二千一百六十
- Chinese (financial)
- 壹拾貳萬貳仟壹佰陸拾
Also seen as
Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 122160, here are decompositions:
- 11 + 122149 = 122160
- 13 + 122147 = 122160
- 29 + 122131 = 122160
- 43 + 122117 = 122160
- 61 + 122099 = 122160
- 79 + 122081 = 122160
- 107 + 122053 = 122160
- 109 + 122051 = 122160
Showing the first eight; more decompositions exist.
As an unsigned 32-bit integer, this is the IPv4 address 0.1.221.48.
- Address
- 0.1.221.48
- Class
- reserved
- IPv4-mapped IPv6
- ::ffff:0.1.221.48
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 122,160 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°.