122,400
122,400 is a composite number, even.
122,400 (one hundred twenty-two thousand four hundred) is an even 6-digit number. It is a composite number with 108 divisors, and factors as 2⁵ × 3² × 5² × 17. Its proper divisors sum to 334,602, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x1DE20.
Interestingness
Properties
- Parity
- Even
- Digit count
- 6
- Digit sum
- 9
- Digit product
- 0
- Digital root
- 9
- Palindrome
- No
- Bit width
- 17 bits
- Reversed
- 4,221
- Square (n²)
- 14,981,760,000
- Cube (n³)
- 1,833,767,424,000,000
- Divisor count
- 108
- σ(n) — sum of divisors
- 457,002
- φ(n) — Euler's totient
- 30,720
- Sum of prime factors
- 43
Primality
Prime factorization: 2 5 × 3 2 × 5 2 × 17
Divisors & multiples
Sums & aliquot sequence
Continued fraction of √n
√122,400 = [349; (1, 5, 1, 698)]
Period length 4 — the block in parentheses repeats forever.
Representations
- In words
- one hundred twenty-two thousand four hundred
- Ordinal
- 122400th
- Binary
- 11101111000100000
- Octal
- 357040
- Hexadecimal
- 0x1DE20
- Base64
- Ad4g
- One's complement
- 4,294,844,895 (32-bit)
- Scientific notation
- 1.224 × 10⁵
- As a duration
- 122,400 s = 1 day, 10 hours
As an angle
Historical numeral systems
- Babylonian (base 60)
- 𒌋𒌋𒌋𒁹𒁹𒁹𒁹 · ·
- Egyptian hieroglyphic
- 𓆐𓂍𓂍𓆼𓆼𓍢𓍢𓍢𓍢
- Greek (Milesian)
- ͵ρκβυʹ
- Mayan (base 20)
- 𝋯·𝋦·𝋠·𝋠
- Chinese
- 一十二萬二千四百
- Chinese (financial)
- 壹拾貳萬貳仟肆佰
Also seen as
Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 122400, here are decompositions:
- 7 + 122393 = 122400
- 11 + 122389 = 122400
- 13 + 122387 = 122400
- 37 + 122363 = 122400
- 53 + 122347 = 122400
- 73 + 122327 = 122400
- 79 + 122321 = 122400
- 101 + 122299 = 122400
Showing the first eight; more decompositions exist.
As an unsigned 32-bit integer, this is the IPv4 address 0.1.222.32.
- Address
- 0.1.222.32
- Class
- reserved
- IPv4-mapped IPv6
- ::ffff:0.1.222.32
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 122,400 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 122400 first appears in π at position 162,264 of the decimal expansion (the 162,264ordinal-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°.