122,880
122,880 is a composite number, even.
122,880 (one hundred twenty-two thousand eight hundred eighty) is an even 6-digit number. It is a composite number with 56 divisors, and factors as 2¹³ × 3 × 5. Its proper divisors sum to 270,312, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x1E000.
Interestingness
Properties
- Parity
- Even
- Digit count
- 6
- Digit sum
- 21
- Digit product
- 0
- Digital root
- 3
- Palindrome
- No
- Bit width
- 17 bits
- Reversed
- 88,221
- Square (n²)
- 15,099,494,400
- Cube (n³)
- 1,855,425,871,872,000
- Divisor count
- 56
- σ(n) — sum of divisors
- 393,192
- φ(n) — Euler's totient
- 32,768
- Sum of prime factors
- 34
Primality
Prime factorization: 2 13 × 3 × 5
Divisors & multiples
Sums & aliquot sequence
Continued fraction of √n
√122,880 = [350; (1, 1, 5, 2, 1, 1, 3, 1, 9, 10, 1, 5, 1, 3, 3, 2, 2, 3, 6, 43, 1, 1, 1, 13, …)]
Representations
- In words
- one hundred twenty-two thousand eight hundred eighty
- Ordinal
- 122880th
- Binary
- 11110000000000000
- Octal
- 360000
- Hexadecimal
- 0x1E000
- Base64
- AeAA
- One's complement
- 4,294,844,415 (32-bit)
- Scientific notation
- 1.2288 × 10⁵
- As a duration
- 122,880 s = 1 day, 10 hours, 8 minutes
As an angle
Historical numeral systems
- Babylonian (base 60)
- 𒌋𒌋𒌋𒁹𒁹𒁹𒁹 𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 ·
- Egyptian hieroglyphic
- 𓆐𓂍𓂍𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆
- Greek (Milesian)
- ͵ρκβωπʹ
- Mayan (base 20)
- 𝋯·𝋧·𝋤·𝋠
- Chinese
- 一十二萬二千八百八十
- Chinese (financial)
- 壹拾貳萬貳仟捌佰捌拾
Also seen as
Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 122880, here are decompositions:
- 11 + 122869 = 122880
- 13 + 122867 = 122880
- 19 + 122861 = 122880
- 31 + 122849 = 122880
- 41 + 122839 = 122880
- 47 + 122833 = 122880
- 53 + 122827 = 122880
- 61 + 122819 = 122880
Showing the first eight; more decompositions exist.
UTF-8 encoding: F0 9E 80 80 (4 bytes).
As an unsigned 32-bit integer, this is the IPv4 address 0.1.224.0.
- Address
- 0.1.224.0
- Class
- reserved
- IPv4-mapped IPv6
- ::ffff:0.1.224.0
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 122,880 and was likely granted around 1871.
Patent numbers below 100,000 are excluded as too ambiguous; modern numbering currently reaches roughly 12.5 million.
The digit sequence 122880 first appears in π at position 353,002 of the decimal expansion (the 353,002ordinal-suffix:nd digit after the integer 3).
Search range: the first 1,000,000 fractional digits of π. Any 6-digit-or-shorter string is virtually guaranteed to appear in there — the more interesting signal is the position.
Related reading
- Babylonian numerals — The base-60 cuneiform system that gave us 60 minutes, 60 seconds, and 360°.