121,820
121,820 is a composite number, even.
121,820 (one hundred twenty-one thousand eight hundred twenty) is an even 6-digit number. It is a composite number with 12 divisors, and factors as 2² × 5 × 6,091. Its proper divisors sum to 134,044, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x1DBDC.
Interestingness
Properties
- Parity
- Even
- Digit count
- 6
- Digit sum
- 14
- Digit product
- 0
- Digital root
- 5
- Palindrome
- No
- Bit width
- 17 bits
- Reversed
- 28,121
- Square (n²)
- 14,840,112,400
- Cube (n³)
- 1,807,822,492,568,000
- Divisor count
- 12
- σ(n) — sum of divisors
- 255,864
- φ(n) — Euler's totient
- 48,720
- Sum of prime factors
- 6,100
Primality
Prime factorization: 2 2 × 5 × 6091
Divisors & multiples
Sums & aliquot sequence
Continued fraction of √n
√121,820 = [349; (36, 1, 2, 1, 4, 1, 1, 2, 1, 1, 1, 1, 3, 23, 1, 3, 1, 5, 1, 10, 1, 1, 2, 3, …)]
Period length 60 — the block in parentheses repeats forever.
Representations
- In words
- one hundred twenty-one thousand eight hundred twenty
- Ordinal
- 121820th
- Binary
- 11101101111011100
- Octal
- 355734
- Hexadecimal
- 0x1DBDC
- Base64
- Advc
- One's complement
- 4,294,845,475 (32-bit)
- Scientific notation
- 1.2182 × 10⁵
- As a duration
- 121,820 s = 1 day, 9 hours, 50 minutes, 20 seconds
As an angle
Historical numeral systems
- Babylonian (base 60)
- 𒌋𒌋𒌋𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒌋 𒌋𒌋
- Egyptian hieroglyphic
- 𓆐𓂍𓂍𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆
- Greek (Milesian)
- ͵ρκαωκʹ
- Mayan (base 20)
- 𝋯·𝋤·𝋫·𝋠
- Chinese
- 一十二萬一千八百二十
- Chinese (financial)
- 壹拾貳萬壹仟捌佰貳拾
Also seen as
Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 121820, here are decompositions:
- 31 + 121789 = 121820
- 109 + 121711 = 121820
- 199 + 121621 = 121820
- 211 + 121609 = 121820
- 229 + 121591 = 121820
- 241 + 121579 = 121820
- 313 + 121507 = 121820
- 367 + 121453 = 121820
Showing the first eight; more decompositions exist.
As an unsigned 32-bit integer, this is the IPv4 address 0.1.219.220.
- Address
- 0.1.219.220
- Class
- reserved
- IPv4-mapped IPv6
- ::ffff:0.1.219.220
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 121,820 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 121820 first appears in π at position 237,749 of the decimal expansion (the 237,749ordinal-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
- Mayan numerals — Vigesimal dots-and-bars with a shell zero — one of the earliest true zeros.