121,968
121,968 is a composite number, even.
121,968 (one hundred twenty-one thousand nine hundred sixty-eight) is an even 6-digit number. It is a composite number with 90 divisors, and factors as 2⁴ × 3² × 7 × 11². Its proper divisors sum to 306,824, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x1DC70.
Interestingness
Properties
- Parity
- Even
- Digit count
- 6
- Digit sum
- 27
- Digit product
- 864
- Digital root
- 9
- Palindrome
- No
- Bit width
- 17 bits
- Reversed
- 869,121
- Square (n²)
- 14,876,193,024
- Cube (n³)
- 1,814,419,510,751,232
- Divisor count
- 90
- σ(n) — sum of divisors
- 428,792
- φ(n) — Euler's totient
- 31,680
- Sum of prime factors
- 43
Primality
Prime factorization: 2 4 × 3 2 × 7 × 11 2
Divisors & multiples
Sums & aliquot sequence
Continued fraction of √n
√121,968 = [349; (4, 5, 1, 1, 10, 1, 1, 5, 4, 698)]
Period length 10 — the block in parentheses repeats forever.
Representations
- In words
- one hundred twenty-one thousand nine hundred sixty-eight
- Ordinal
- 121968th
- Binary
- 11101110001110000
- Octal
- 356160
- Hexadecimal
- 0x1DC70
- Base64
- Adxw
- One's complement
- 4,294,845,327 (32-bit)
- Scientific notation
- 1.21968 × 10⁵
- As a duration
- 121,968 s = 1 day, 9 hours, 52 minutes, 48 seconds
As an angle
Historical numeral systems
- Babylonian (base 60)
- 𒌋𒌋𒌋𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒌋𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹
- Egyptian hieroglyphic
- 𓆐𓂍𓂍𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺
- Greek (Milesian)
- ͵ρκαϡξηʹ
- Mayan (base 20)
- 𝋯·𝋤·𝋲·𝋨
- Chinese
- 一十二萬一千九百六十八
- Chinese (financial)
- 壹拾貳萬壹仟玖佰陸拾捌
Also seen as
Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 121968, here are decompositions:
- 5 + 121963 = 121968
- 17 + 121951 = 121968
- 19 + 121949 = 121968
- 31 + 121937 = 121968
- 37 + 121931 = 121968
- 47 + 121921 = 121968
- 59 + 121909 = 121968
- 79 + 121889 = 121968
Showing the first eight; more decompositions exist.
As an unsigned 32-bit integer, this is the IPv4 address 0.1.220.112.
- Address
- 0.1.220.112
- Class
- reserved
- IPv4-mapped IPv6
- ::ffff:0.1.220.112
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 121,968 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°.