122,040
122,040 is a composite number, even.
122,040 (one hundred twenty-two thousand forty) is an even 6-digit number. It is a composite number with 64 divisors, and factors as 2³ × 3³ × 5 × 113. Its proper divisors sum to 288,360, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x1DCB8.
Interestingness
Properties
- Parity
- Even
- Digit count
- 6
- Digit sum
- 9
- Digit product
- 0
- Digital root
- 9
- Palindrome
- No
- Bit width
- 17 bits
- Reversed
- 40,221
- Square (n²)
- 14,893,761,600
- Cube (n³)
- 1,817,634,665,664,000
- Divisor count
- 64
- σ(n) — sum of divisors
- 410,400
- φ(n) — Euler's totient
- 32,256
- Sum of prime factors
- 133
Primality
Prime factorization: 2 3 × 3 3 × 5 × 113
Divisors & multiples
Sums & aliquot sequence
Continued fraction of √n
√122,040 = [349; (2, 1, 11, 1, 4, 3, 1, 13, 2, 77, 6, 1, 2, 2, 1, 1, 4, 1, 1, 2, 2, 1, 6, 77, …)]
Period length 34 — the block in parentheses repeats forever.
Representations
- In words
- one hundred twenty-two thousand forty
- Ordinal
- 122040th
- Binary
- 11101110010111000
- Octal
- 356270
- Hexadecimal
- 0x1DCB8
- Base64
- Ady4
- One's complement
- 4,294,845,255 (32-bit)
- Scientific notation
- 1.2204 × 10⁵
- As a duration
- 122,040 s = 1 day, 9 hours, 54 minutes
As an angle
Historical numeral systems
- Babylonian (base 60)
- 𒌋𒌋𒌋𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹 ·
- Egyptian hieroglyphic
- 𓆐𓂍𓂍𓆼𓆼𓎆𓎆𓎆𓎆
- Greek (Milesian)
- ͵ρκβμʹ
- Mayan (base 20)
- 𝋯·𝋥·𝋢·𝋠
- Chinese
- 一十二萬二千零四十
- Chinese (financial)
- 壹拾貳萬貳仟零肆拾
Also seen as
Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 122040, here are decompositions:
- 7 + 122033 = 122040
- 11 + 122029 = 122040
- 13 + 122027 = 122040
- 19 + 122021 = 122040
- 29 + 122011 = 122040
- 43 + 121997 = 122040
- 47 + 121993 = 122040
- 73 + 121967 = 122040
Showing the first eight; more decompositions exist.
As an unsigned 32-bit integer, this is the IPv4 address 0.1.220.184.
- Address
- 0.1.220.184
- Class
- reserved
- IPv4-mapped IPv6
- ::ffff:0.1.220.184
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 122,040 and was likely granted around 1871.
Patent numbers below 100,000 are excluded as too ambiguous; modern numbering currently reaches roughly 12.5 million.
Related reading
- Babylonian numerals — The base-60 cuneiform system that gave us 60 minutes, 60 seconds, and 360°.