121,920
121,920 is a composite number, even.
121,920 (one hundred twenty-one thousand nine hundred twenty) is an even 6-digit number. It is a composite number with 56 divisors, and factors as 2⁶ × 3 × 5 × 127. Its proper divisors sum to 268,224, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x1DC40.
Interestingness
Properties
- Parity
- Even
- Digit count
- 6
- Digit sum
- 15
- Digit product
- 0
- Digital root
- 6
- Palindrome
- No
- Bit width
- 17 bits
- Reversed
- 29,121
- Square (n²)
- 14,864,486,400
- Cube (n³)
- 1,812,278,181,888,000
- Divisor count
- 56
- σ(n) — sum of divisors
- 390,144
- φ(n) — Euler's totient
- 32,256
- Sum of prime factors
- 147
Primality
Prime factorization: 2 6 × 3 × 5 × 127
Divisors & multiples
Sums & aliquot sequence
Continued fraction of √n
√121,920 = [349; (5, 1, 6, 1, 1, 13, 1, 2, 1, 1, 5, 3, 2, 1, 1, 1, 1, 4, 1, 3, 1, 173, 1, 3, …)]
Period length 44 — the block in parentheses repeats forever.
Representations
- In words
- one hundred twenty-one thousand nine hundred twenty
- Ordinal
- 121920th
- Binary
- 11101110001000000
- Octal
- 356100
- Hexadecimal
- 0x1DC40
- Base64
- AdxA
- One's complement
- 4,294,845,375 (32-bit)
- Scientific notation
- 1.2192 × 10⁵
- As a duration
- 121,920 s = 1 day, 9 hours, 52 minutes
As an angle
Historical numeral systems
- Babylonian (base 60)
- 𒌋𒌋𒌋𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒌋𒁹𒁹 ·
- Egyptian hieroglyphic
- 𓆐𓂍𓂍𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆
- Greek (Milesian)
- ͵ρκαϡκʹ
- Mayan (base 20)
- 𝋯·𝋤·𝋰·𝋠
- Chinese
- 一十二萬一千九百二十
- Chinese (financial)
- 壹拾貳萬壹仟玖佰貳拾
Also seen as
Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 121920, here are decompositions:
- 11 + 121909 = 121920
- 31 + 121889 = 121920
- 37 + 121883 = 121920
- 53 + 121867 = 121920
- 67 + 121853 = 121920
- 131 + 121789 = 121920
- 157 + 121763 = 121920
- 193 + 121727 = 121920
Showing the first eight; more decompositions exist.
As an unsigned 32-bit integer, this is the IPv4 address 0.1.220.64.
- Address
- 0.1.220.64
- Class
- reserved
- IPv4-mapped IPv6
- ::ffff:0.1.220.64
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 121,920 and was likely granted around 1871.
Patent numbers below 100,000 are excluded as too ambiguous; modern numbering currently reaches roughly 12.5 million.
Related reading
- Babylonian numerals — The base-60 cuneiform system that gave us 60 minutes, 60 seconds, and 360°.