122,688
122,688 is a composite number, even.
122,688 (one hundred twenty-two thousand six hundred eighty-eight) is an even 6-digit number. It is a composite number with 56 divisors, and factors as 2⁶ × 3³ × 71. Its proper divisors sum to 243,072, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x1DF40.
Interestingness
Properties
- Parity
- Even
- Digit count
- 6
- Digit sum
- 27
- Digit product
- 1,536
- Digital root
- 9
- Palindrome
- No
- Bit width
- 17 bits
- Reversed
- 886,221
- Square (n²)
- 15,052,345,344
- Cube (n³)
- 1,846,742,145,564,672
- Divisor count
- 56
- σ(n) — sum of divisors
- 365,760
- φ(n) — Euler's totient
- 40,320
- Sum of prime factors
- 92
Primality
Prime factorization: 2 6 × 3 3 × 71
Divisors & multiples
Sums & aliquot sequence
Continued fraction of √n
√122,688 = [350; (3, 1, 2, 1, 1, 1, 2, 1, 3, 700)]
Period length 10 — the block in parentheses repeats forever.
Representations
- In words
- one hundred twenty-two thousand six hundred eighty-eight
- Ordinal
- 122688th
- Binary
- 11101111101000000
- Octal
- 357500
- Hexadecimal
- 0x1DF40
- Base64
- Ad9A
- One's complement
- 4,294,844,607 (32-bit)
- Scientific notation
- 1.22688 × 10⁵
- As a duration
- 122,688 s = 1 day, 10 hours, 4 minutes, 48 seconds
As an angle
Historical numeral systems
- Babylonian (base 60)
- 𒌋𒌋𒌋𒁹𒁹𒁹𒁹 𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹
- Egyptian hieroglyphic
- 𓆐𓂍𓂍𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺
- Greek (Milesian)
- ͵ρκβχπηʹ
- Mayan (base 20)
- 𝋯·𝋦·𝋮·𝋨
- Chinese
- 一十二萬二千六百八十八
- Chinese (financial)
- 壹拾貳萬貳仟陸佰捌拾捌
Also seen as
Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 122688, here are decompositions:
- 37 + 122651 = 122688
- 79 + 122609 = 122688
- 89 + 122599 = 122688
- 109 + 122579 = 122688
- 127 + 122561 = 122688
- 131 + 122557 = 122688
- 179 + 122509 = 122688
- 191 + 122497 = 122688
Showing the first eight; more decompositions exist.
As an unsigned 32-bit integer, this is the IPv4 address 0.1.223.64.
- Address
- 0.1.223.64
- Class
- reserved
- IPv4-mapped IPv6
- ::ffff:0.1.223.64
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 122,688 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 122688 first appears in π at position 808,865 of the decimal expansion (the 808,865ordinal-suffix:th 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°.