122,122
122,122 is a composite number, even.
122,122 (one hundred twenty-two thousand one hundred twenty-two) is an even 6-digit number. It is a composite number with 32 divisors, and factors as 2 × 7 × 11 × 13 × 61. Its proper divisors sum to 127,862, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x1DD0A.
Interestingness
Properties
- Parity
- Even
- Digit count
- 6
- Digit sum
- 10
- Digit product
- 16
- Digital root
- 1
- Palindrome
- No
- Bit width
- 17 bits
- Reversed
- 221,221
- Square (n²)
- 14,913,782,884
- Cube (n³)
- 1,821,300,993,359,848
- Divisor count
- 32
- σ(n) — sum of divisors
- 249,984
- φ(n) — Euler's totient
- 43,200
- Sum of prime factors
- 94
Primality
Prime factorization: 2 × 7 × 11 × 13 × 61
Divisors & multiples
Sums & aliquot sequence
Continued fraction of √n
√122,122 = [349; (2, 5, 1, 2, 5, 1, 1, 2, 1, 76, 1, 15, 1, 1, 1, 7, 1, 30, 1, 7, 1, 1, 1, 15, …)]
Period length 36 — the block in parentheses repeats forever.
Representations
- In words
- one hundred twenty-two thousand one hundred twenty-two
- Ordinal
- 122122nd
- Binary
- 11101110100001010
- Octal
- 356412
- Hexadecimal
- 0x1DD0A
- Base64
- Ad0K
- One's complement
- 4,294,845,173 (32-bit)
- Scientific notation
- 1.22122 × 10⁵
- As a duration
- 122,122 s = 1 day, 9 hours, 55 minutes, 22 seconds
As an angle
Historical numeral systems
- Babylonian (base 60)
- 𒌋𒌋𒌋𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒁹𒁹
- Egyptian hieroglyphic
- 𓆐𓂍𓂍𓆼𓆼𓍢𓎆𓎆𓏺𓏺
- Greek (Milesian)
- ͵ρκβρκβʹ
- Mayan (base 20)
- 𝋯·𝋥·𝋦·𝋢
- Chinese
- 一十二萬二千一百二十二
- Chinese (financial)
- 壹拾貳萬貳仟壹佰貳拾貳
Also seen as
Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 122122, here are decompositions:
- 5 + 122117 = 122122
- 23 + 122099 = 122122
- 41 + 122081 = 122122
- 53 + 122069 = 122122
- 71 + 122051 = 122122
- 83 + 122039 = 122122
- 89 + 122033 = 122122
- 101 + 122021 = 122122
Showing the first eight; more decompositions exist.
As an unsigned 32-bit integer, this is the IPv4 address 0.1.221.10.
- Address
- 0.1.221.10
- Class
- reserved
- IPv4-mapped IPv6
- ::ffff:0.1.221.10
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 122,122 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
- Egyptian hieroglyphic numerals — Seven hieroglyphs for every power of ten, from a single stroke to a million.