123,120
123,120 is a composite number, even.
123,120 (one hundred twenty-three thousand one hundred twenty) is an even 6-digit number. It is a composite number with 100 divisors, and factors as 2⁴ × 3⁴ × 5 × 19. Its proper divisors sum to 327,000, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x1E0F0.
Interestingness
Properties
- Parity
- Even
- Digit count
- 6
- Digit sum
- 9
- Digit product
- 0
- Digital root
- 9
- Palindrome
- No
- Bit width
- 17 bits
- Reversed
- 21,321
- Square (n²)
- 15,158,534,400
- Cube (n³)
- 1,866,318,755,328,000
- Divisor count
- 100
- σ(n) — sum of divisors
- 450,120
- φ(n) — Euler's totient
- 31,104
- Sum of prime factors
- 44
Primality
Prime factorization: 2 4 × 3 4 × 5 × 19
Divisors & multiples
Sums & aliquot sequence
Continued fraction of √n
√123,120 = [350; (1, 7, 1, 1, 1, 77, 3, 8, 3, 77, 1, 1, 1, 7, 1, 700)]
Period length 16 — the block in parentheses repeats forever.
Representations
- In words
- one hundred twenty-three thousand one hundred twenty
- Ordinal
- 123120th
- Binary
- 11110000011110000
- Octal
- 360360
- Hexadecimal
- 0x1E0F0
- Base64
- AeDw
- One's complement
- 4,294,844,175 (32-bit)
- Scientific notation
- 1.2312 × 10⁵
- As a duration
- 123,120 s = 1 day, 10 hours, 12 minutes
As an angle
Historical numeral systems
- Babylonian (base 60)
- 𒌋𒌋𒌋𒁹𒁹𒁹𒁹 𒌋𒁹𒁹 ·
- Egyptian hieroglyphic
- 𓆐𓂍𓂍𓆼𓆼𓆼𓍢𓎆𓎆
- Greek (Milesian)
- ͵ρκγρκʹ
- Mayan (base 20)
- 𝋯·𝋧·𝋰·𝋠
- Chinese
- 一十二萬三千一百二十
- Chinese (financial)
- 壹拾貳萬參仟壹佰貳拾
Also seen as
Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 123120, here are decompositions:
- 7 + 123113 = 123120
- 29 + 123091 = 123120
- 37 + 123083 = 123120
- 43 + 123077 = 123120
- 61 + 123059 = 123120
- 71 + 123049 = 123120
- 89 + 123031 = 123120
- 103 + 123017 = 123120
Showing the first eight; more decompositions exist.
As an unsigned 32-bit integer, this is the IPv4 address 0.1.224.240.
- Address
- 0.1.224.240
- Class
- reserved
- IPv4-mapped IPv6
- ::ffff:0.1.224.240
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 123,120 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 123120 first appears in π at position 986,599 of the decimal expansion (the 986,599ordinal-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°.