122,772
122,772 is a composite number, even.
122,772 (one hundred twenty-two thousand seven hundred seventy-two) is an even 6-digit number. It is a composite number with 24 divisors, and factors as 2² × 3 × 13 × 787. Its proper divisors sum to 186,124, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x1DF94.
Interestingness
Properties
- Parity
- Even
- Digit count
- 6
- Digit sum
- 21
- Digit product
- 392
- Digital root
- 3
- Palindrome
- No
- Bit width
- 17 bits
- Reversed
- 277,221
- Square (n²)
- 15,072,963,984
- Cube (n³)
- 1,850,537,934,243,648
- Divisor count
- 24
- σ(n) — sum of divisors
- 308,896
- φ(n) — Euler's totient
- 37,728
- Sum of prime factors
- 807
Primality
Prime factorization: 2 2 × 3 × 13 × 787
Divisors & multiples
Sums & aliquot sequence
Continued fraction of √n
√122,772 = [350; (2, 1, 1, 2, 1, 5, 14, 2, 2, 1, 4, 1, 1, 1, 3, 43, 1, 1, 9, 1, 3, 1, 232, 1, …)]
Period length 46 — the block in parentheses repeats forever.
Representations
- In words
- one hundred twenty-two thousand seven hundred seventy-two
- Ordinal
- 122772nd
- Binary
- 11101111110010100
- Octal
- 357624
- Hexadecimal
- 0x1DF94
- Base64
- Ad+U
- One's complement
- 4,294,844,523 (32-bit)
- Scientific notation
- 1.22772 × 10⁵
- As a duration
- 122,772 s = 1 day, 10 hours, 6 minutes, 12 seconds
As an angle
Historical numeral systems
- Babylonian (base 60)
- 𒌋𒌋𒌋𒁹𒁹𒁹𒁹 𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒁹𒁹
- Egyptian hieroglyphic
- 𓆐𓂍𓂍𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺
- Greek (Milesian)
- ͵ρκβψοβʹ
- Mayan (base 20)
- 𝋯·𝋦·𝋲·𝋬
- Chinese
- 一十二萬二千七百七十二
- Chinese (financial)
- 壹拾貳萬貳仟柒佰柒拾貳
Also seen as
Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 122772, here are decompositions:
- 11 + 122761 = 122772
- 19 + 122753 = 122772
- 29 + 122743 = 122772
- 31 + 122741 = 122772
- 53 + 122719 = 122772
- 71 + 122701 = 122772
- 79 + 122693 = 122772
- 109 + 122663 = 122772
Showing the first eight; more decompositions exist.
As an unsigned 32-bit integer, this is the IPv4 address 0.1.223.148.
- Address
- 0.1.223.148
- Class
- reserved
- IPv4-mapped IPv6
- ::ffff:0.1.223.148
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 122,772 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°.