122,352
122,352 is a composite number, even.
122,352 (one hundred twenty-two thousand three hundred fifty-two) is an even 6-digit number. It is a composite number with 20 divisors, and factors as 2⁴ × 3 × 2,549. Its proper divisors sum to 193,848, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x1DDF0.
Interestingness
Properties
- Parity
- Even
- Digit count
- 6
- Digit sum
- 15
- Digit product
- 120
- Digital root
- 6
- Palindrome
- No
- Bit width
- 17 bits
- Reversed
- 253,221
- Square (n²)
- 14,970,011,904
- Cube (n³)
- 1,831,610,896,478,208
- Divisor count
- 20
- σ(n) — sum of divisors
- 316,200
- φ(n) — Euler's totient
- 40,768
- Sum of prime factors
- 2,560
Primality
Prime factorization: 2 4 × 3 × 2549
Divisors & multiples
Sums & aliquot sequence
Continued fraction of √n
√122,352 = [349; (1, 3, 1, 2, 1, 2, 7, 1, 2, 11, 1, 12, 1, 1, 6, 1, 3, 3, 9, 1, 1, 4, 1, 8, …)]
Period length 60 — the block in parentheses repeats forever.
Representations
- In words
- one hundred twenty-two thousand three hundred fifty-two
- Ordinal
- 122352nd
- Binary
- 11101110111110000
- Octal
- 356760
- Hexadecimal
- 0x1DDF0
- Base64
- Ad3w
- One's complement
- 4,294,844,943 (32-bit)
- Scientific notation
- 1.22352 × 10⁵
- As a duration
- 122,352 s = 1 day, 9 hours, 59 minutes, 12 seconds
As an angle
Historical numeral systems
- Babylonian (base 60)
- 𒌋𒌋𒌋𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒁹𒁹
- Egyptian hieroglyphic
- 𓆐𓂍𓂍𓆼𓆼𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓏺𓏺
- Greek (Milesian)
- ͵ρκβτνβʹ
- Mayan (base 20)
- 𝋯·𝋥·𝋱·𝋬
- Chinese
- 一十二萬二千三百五十二
- Chinese (financial)
- 壹拾貳萬貳仟參佰伍拾貳
Also seen as
Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 122352, here are decompositions:
- 5 + 122347 = 122352
- 29 + 122323 = 122352
- 31 + 122321 = 122352
- 53 + 122299 = 122352
- 73 + 122279 = 122352
- 79 + 122273 = 122352
- 89 + 122263 = 122352
- 101 + 122251 = 122352
Showing the first eight; more decompositions exist.
As an unsigned 32-bit integer, this is the IPv4 address 0.1.221.240.
- Address
- 0.1.221.240
- Class
- reserved
- IPv4-mapped IPv6
- ::ffff:0.1.221.240
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 122,352 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°.