121,980
121,980 is a composite number, even.
121,980 (one hundred twenty-one thousand nine hundred eighty) is an even 6-digit number. It is a composite number with 48 divisors, and factors as 2² × 3 × 5 × 19 × 107. Its proper divisors sum to 240,900, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x1DC7C.
Interestingness
Properties
- Parity
- Even
- Digit count
- 6
- Digit sum
- 21
- Digit product
- 0
- Digital root
- 3
- Palindrome
- No
- Bit width
- 17 bits
- Reversed
- 89,121
- Square (n²)
- 14,879,120,400
- Cube (n³)
- 1,814,955,106,392,000
- Divisor count
- 48
- σ(n) — sum of divisors
- 362,880
- φ(n) — Euler's totient
- 30,528
- Sum of prime factors
- 138
Primality
Prime factorization: 2 2 × 3 × 5 × 19 × 107
Divisors & multiples
Sums & aliquot sequence
Continued fraction of √n
√121,980 = [349; (3, 1, 9, 11, 2, 1, 6, 1, 2, 11, 9, 1, 3, 698)]
Period length 14 — the block in parentheses repeats forever.
Representations
- In words
- one hundred twenty-one thousand nine hundred eighty
- Ordinal
- 121980th
- Binary
- 11101110001111100
- Octal
- 356174
- Hexadecimal
- 0x1DC7C
- Base64
- Adx8
- One's complement
- 4,294,845,315 (32-bit)
- Scientific notation
- 1.2198 × 10⁵
- As a duration
- 121,980 s = 1 day, 9 hours, 53 minutes
As an angle
Historical numeral systems
- Babylonian (base 60)
- 𒌋𒌋𒌋𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒌋𒁹𒁹𒁹 ·
- Egyptian hieroglyphic
- 𓆐𓂍𓂍𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆
- Greek (Milesian)
- ͵ρκαϡπʹ
- Mayan (base 20)
- 𝋯·𝋤·𝋳·𝋠
- Chinese
- 一十二萬一千九百八十
- Chinese (financial)
- 壹拾貳萬壹仟玖佰捌拾
Also seen as
Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 121980, here are decompositions:
- 13 + 121967 = 121980
- 17 + 121963 = 121980
- 29 + 121951 = 121980
- 31 + 121949 = 121980
- 43 + 121937 = 121980
- 59 + 121921 = 121980
- 71 + 121909 = 121980
- 97 + 121883 = 121980
Showing the first eight; more decompositions exist.
As an unsigned 32-bit integer, this is the IPv4 address 0.1.220.124.
- Address
- 0.1.220.124
- Class
- reserved
- IPv4-mapped IPv6
- ::ffff:0.1.220.124
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 121,980 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 121980 first appears in π at position 305,947 of the decimal expansion (the 305,947ordinal-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°.