122,720
122,720 is a composite number, even.
122,720 (one hundred twenty-two thousand seven hundred twenty) is an even 6-digit number. It is a composite number with 48 divisors, and factors as 2⁵ × 5 × 13 × 59. Its proper divisors sum to 194,800, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x1DF60.
Interestingness
Properties
- Parity
- Even
- Digit count
- 6
- Digit sum
- 14
- Digit product
- 0
- Digital root
- 5
- Palindrome
- No
- Bit width
- 17 bits
- Reversed
- 27,221
- Square (n²)
- 15,060,198,400
- Cube (n³)
- 1,848,187,547,648,000
- Divisor count
- 48
- σ(n) — sum of divisors
- 317,520
- φ(n) — Euler's totient
- 44,544
- Sum of prime factors
- 87
Primality
Prime factorization: 2 5 × 5 × 13 × 59
Divisors & multiples
Sums & aliquot sequence
Continued fraction of √n
√122,720 = [350; (3, 5, 2, 5, 3, 700)]
Period length 6 — the block in parentheses repeats forever.
Representations
- In words
- one hundred twenty-two thousand seven hundred twenty
- Ordinal
- 122720th
- Binary
- 11101111101100000
- Octal
- 357540
- Hexadecimal
- 0x1DF60
- Base64
- Ad9g
- One's complement
- 4,294,844,575 (32-bit)
- Scientific notation
- 1.2272 × 10⁵
- As a duration
- 122,720 s = 1 day, 10 hours, 5 minutes, 20 seconds
As an angle
Historical numeral systems
- Babylonian (base 60)
- 𒌋𒌋𒌋𒁹𒁹𒁹𒁹 𒁹𒁹𒁹𒁹𒁹 𒌋𒌋
- Egyptian hieroglyphic
- 𓆐𓂍𓂍𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆
- Greek (Milesian)
- ͵ρκβψκʹ
- Mayan (base 20)
- 𝋯·𝋦·𝋰·𝋠
- Chinese
- 一十二萬二千七百二十
- Chinese (financial)
- 壹拾貳萬貳仟柒佰貳拾
Also seen as
Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 122720, here are decompositions:
- 19 + 122701 = 122720
- 67 + 122653 = 122720
- 109 + 122611 = 122720
- 163 + 122557 = 122720
- 193 + 122527 = 122720
- 211 + 122509 = 122720
- 223 + 122497 = 122720
- 271 + 122449 = 122720
Showing the first eight; more decompositions exist.
As an unsigned 32-bit integer, this is the IPv4 address 0.1.223.96.
- Address
- 0.1.223.96
- Class
- reserved
- IPv4-mapped IPv6
- ::ffff:0.1.223.96
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 122,720 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 122720 first appears in π at position 443,843 of the decimal expansion (the 443,843ordinal-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
- Mayan numerals — Vigesimal dots-and-bars with a shell zero — one of the earliest true zeros.