122,520
122,520 is a composite number, even.
122,520 (one hundred twenty-two thousand five hundred twenty) is an even 6-digit number. It is a composite number with 32 divisors, and factors as 2³ × 3 × 5 × 1,021. Its proper divisors sum to 245,400, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x1DE98.
Interestingness
Properties
- Parity
- Even
- Digit count
- 6
- Digit sum
- 12
- Digit product
- 0
- Digital root
- 3
- Palindrome
- No
- Bit width
- 17 bits
- Reversed
- 25,221
- Recamán's sequence
- a(30,080) = 122,520
- Square (n²)
- 15,011,150,400
- Cube (n³)
- 1,839,166,147,008,000
- Divisor count
- 32
- σ(n) — sum of divisors
- 367,920
- φ(n) — Euler's totient
- 32,640
- Sum of prime factors
- 1,035
Primality
Prime factorization: 2 3 × 3 × 5 × 1021
Divisors & multiples
Sums & aliquot sequence
Continued fraction of √n
√122,520 = [350; (35, 700)]
Period length 2 — the block in parentheses repeats forever.
Representations
- In words
- one hundred twenty-two thousand five hundred twenty
- Ordinal
- 122520th
- Binary
- 11101111010011000
- Octal
- 357230
- Hexadecimal
- 0x1DE98
- Base64
- Ad6Y
- One's complement
- 4,294,844,775 (32-bit)
- Scientific notation
- 1.2252 × 10⁵
- As a duration
- 122,520 s = 1 day, 10 hours, 2 minutes
As an angle
Historical numeral systems
- Babylonian (base 60)
- 𒌋𒌋𒌋𒁹𒁹𒁹𒁹 𒁹𒁹 ·
- Egyptian hieroglyphic
- 𓆐𓂍𓂍𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓎆𓎆
- Greek (Milesian)
- ͵ρκβφκʹ
- Mayan (base 20)
- 𝋯·𝋦·𝋦·𝋠
- Chinese
- 一十二萬二千五百二十
- Chinese (financial)
- 壹拾貳萬貳仟伍佰貳拾
Also seen as
Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 122520, here are decompositions:
- 11 + 122509 = 122520
- 17 + 122503 = 122520
- 19 + 122501 = 122520
- 23 + 122497 = 122520
- 31 + 122489 = 122520
- 43 + 122477 = 122520
- 67 + 122453 = 122520
- 71 + 122449 = 122520
Showing the first eight; more decompositions exist.
As an unsigned 32-bit integer, this is the IPv4 address 0.1.222.152.
- Address
- 0.1.222.152
- Class
- reserved
- IPv4-mapped IPv6
- ::ffff:0.1.222.152
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 122,520 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 122520 first appears in π at position 891,273 of the decimal expansion (the 891,273ordinal-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°.