121,772
121,772 is a composite number, even.
121,772 (one hundred twenty-one thousand seven hundred seventy-two) is an even 6-digit number. It is a composite number with 12 divisors, and factors as 2² × 7 × 4,349. Its proper divisors sum to 121,828, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x1DBAC.
Interestingness
Properties
- Parity
- Even
- Digit count
- 6
- Digit sum
- 20
- Digit product
- 196
- Digital root
- 2
- Palindrome
- No
- Bit width
- 17 bits
- Reversed
- 277,121
- Square (n²)
- 14,828,419,984
- Cube (n³)
- 1,805,686,358,291,648
- Divisor count
- 12
- σ(n) — sum of divisors
- 243,600
- φ(n) — Euler's totient
- 52,176
- Sum of prime factors
- 4,360
Primality
Prime factorization: 2 2 × 7 × 4349
Divisors & multiples
Sums & aliquot sequence
Continued fraction of √n
√121,772 = [348; (1, 23, 14, 1, 4, 5, 22, 3, 8, 1, 5, 1, 7, 1, 1, 4, 6, 2, 24, 2, 6, 4, 1, 1, …)]
Period length 38 — the block in parentheses repeats forever.
Representations
- In words
- one hundred twenty-one thousand seven hundred seventy-two
- Ordinal
- 121772nd
- Binary
- 11101101110101100
- Octal
- 355654
- Hexadecimal
- 0x1DBAC
- Base64
- Adus
- One's complement
- 4,294,845,523 (32-bit)
- Scientific notation
- 1.21772 × 10⁵
- As a duration
- 121,772 s = 1 day, 9 hours, 49 minutes, 32 seconds
As an angle
Historical numeral systems
- Babylonian (base 60)
- 𒌋𒌋𒌋𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹
- Egyptian hieroglyphic
- 𓆐𓂍𓂍𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺
- Greek (Milesian)
- ͵ρκαψοβʹ
- Mayan (base 20)
- 𝋯·𝋤·𝋨·𝋬
- Chinese
- 一十二萬一千七百七十二
- Chinese (financial)
- 壹拾貳萬壹仟柒佰柒拾貳
Also seen as
Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 121772, here are decompositions:
- 61 + 121711 = 121772
- 139 + 121633 = 121772
- 151 + 121621 = 121772
- 163 + 121609 = 121772
- 181 + 121591 = 121772
- 193 + 121579 = 121772
- 241 + 121531 = 121772
- 271 + 121501 = 121772
Showing the first eight; more decompositions exist.
As an unsigned 32-bit integer, this is the IPv4 address 0.1.219.172.
- Address
- 0.1.219.172
- Class
- reserved
- IPv4-mapped IPv6
- ::ffff:0.1.219.172
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 121,772 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
- Mayan numerals — Vigesimal dots-and-bars with a shell zero — one of the earliest true zeros.