120,120
120,120 is a composite number, even.
120,120 (one hundred twenty thousand one hundred twenty) is an even 6-digit number. It is a composite number with 128 divisors, and factors as 2³ × 3 × 5 × 7 × 11 × 13. Its proper divisors sum to 363,720, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x1D538.
Interestingness
Properties
- Parity
- Even
- Digit count
- 6
- Digit sum
- 6
- Digit product
- 0
- Digital root
- 6
- Palindrome
- No
- Bit width
- 17 bits
- Reversed
- 21,021
- Recamán's sequence
- a(239,856) = 120,120
- Square (n²)
- 14,428,814,400
- Cube (n³)
- 1,733,189,185,728,000
- Divisor count
- 128
- σ(n) — sum of divisors
- 483,840
- φ(n) — Euler's totient
- 23,040
- Sum of prime factors
- 45
Primality
Prime factorization: 2 3 × 3 × 5 × 7 × 11 × 13
Divisors & multiples
Sums & aliquot sequence
Continued fraction of √n
√120,120 = [346; (1, 1, 2, 1, 1, 692)]
Period length 6 — the block in parentheses repeats forever.
Representations
- In words
- one hundred twenty thousand one hundred twenty
- Ordinal
- 120120th
- Binary
- 11101010100111000
- Octal
- 352470
- Hexadecimal
- 0x1D538
- Base64
- AdU4
- One's complement
- 4,294,847,175 (32-bit)
- Scientific notation
- 1.2012 × 10⁵
- As a duration
- 120,120 s = 1 day, 9 hours, 22 minutes
As an angle
Historical numeral systems
- Babylonian (base 60)
- 𒌋𒌋𒌋𒁹𒁹𒁹 𒌋𒌋𒁹𒁹 ·
- Egyptian hieroglyphic
- 𓆐𓂍𓂍𓍢𓎆𓎆
- Greek (Milesian)
- ͵ρκρκʹ
- Mayan (base 20)
- 𝋯·𝋠·𝋦·𝋠
- Chinese
- 一十二萬零一百二十
- Chinese (financial)
- 壹拾貳萬零壹佰貳拾
Also seen as
Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 120120, here are decompositions:
- 17 + 120103 = 120120
- 23 + 120097 = 120120
- 29 + 120091 = 120120
- 41 + 120079 = 120120
- 43 + 120077 = 120120
- 53 + 120067 = 120120
- 71 + 120049 = 120120
- 73 + 120047 = 120120
Showing the first eight; more decompositions exist.
UTF-8 encoding: F0 9D 94 B8 (4 bytes).
As an unsigned 32-bit integer, this is the IPv4 address 0.1.213.56.
- Address
- 0.1.213.56
- Class
- reserved
- IPv4-mapped IPv6
- ::ffff:0.1.213.56
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 120,120 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 120120 first appears in π at position 87,600 of the decimal expansion (the 87,600ordinal-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°.