122,820
122,820 is a composite number, even.
122,820 (one hundred twenty-two thousand eight hundred twenty) is an even 6-digit number. It is a composite number with 48 divisors, and factors as 2² × 3 × 5 × 23 × 89. Its proper divisors sum to 240,060, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x1DFC4.
Interestingness
Properties
- Parity
- Even
- Digit count
- 6
- Digit sum
- 15
- Digit product
- 0
- Digital root
- 6
- Palindrome
- No
- Bit width
- 17 bits
- Reversed
- 28,221
- Square (n²)
- 15,084,752,400
- Cube (n³)
- 1,852,709,289,768,000
- Divisor count
- 48
- σ(n) — sum of divisors
- 362,880
- φ(n) — Euler's totient
- 30,976
- Sum of prime factors
- 124
Primality
Prime factorization: 2 2 × 3 × 5 × 23 × 89
Divisors & multiples
Sums & aliquot sequence
Continued fraction of √n
√122,820 = [350; (2, 5, 3, 2, 2, 2, 1, 3, 2, 3, 1, 2, 2, 2, 3, 5, 2, 700)]
Period length 18 — the block in parentheses repeats forever.
Representations
- In words
- one hundred twenty-two thousand eight hundred twenty
- Ordinal
- 122820th
- Binary
- 11101111111000100
- Octal
- 357704
- Hexadecimal
- 0x1DFC4
- Base64
- Ad/E
- One's complement
- 4,294,844,475 (32-bit)
- Scientific notation
- 1.2282 × 10⁵
- As a duration
- 122,820 s = 1 day, 10 hours, 7 minutes
As an angle
Historical numeral systems
- Babylonian (base 60)
- 𒌋𒌋𒌋𒁹𒁹𒁹𒁹 𒁹𒁹𒁹𒁹𒁹𒁹𒁹 ·
- Egyptian hieroglyphic
- 𓆐𓂍𓂍𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆
- Greek (Milesian)
- ͵ρκβωκʹ
- Mayan (base 20)
- 𝋯·𝋧·𝋡·𝋠
- Chinese
- 一十二萬二千八百二十
- Chinese (financial)
- 壹拾貳萬貳仟捌佰貳拾
Also seen as
Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 122820, here are decompositions:
- 31 + 122789 = 122820
- 43 + 122777 = 122820
- 59 + 122761 = 122820
- 67 + 122753 = 122820
- 79 + 122741 = 122820
- 101 + 122719 = 122820
- 127 + 122693 = 122820
- 157 + 122663 = 122820
Showing the first eight; more decompositions exist.
As an unsigned 32-bit integer, this is the IPv4 address 0.1.223.196.
- Address
- 0.1.223.196
- Class
- reserved
- IPv4-mapped IPv6
- ::ffff:0.1.223.196
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 122,820 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 122820 first appears in π at position 698,593 of the decimal expansion (the 698,593ordinal-suffix:rd 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°.