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122,128

122,128 is a composite number, even.

This number doesn't have a permanent NumberWiki page yet — what you see below is computed live. Pages get added to the permanent index when they're notable (years, primes, curated, etc.).

122,128 (one hundred twenty-two thousand one hundred twenty-eight) is an even 6-digit number. It is a composite number with 20 divisors, and factors as 2⁴ × 17 × 449. Its proper divisors sum to 128,972, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x1DD10.

Abundant Number Arithmetic Number Evil Number Harshad / Niven Practical Number Semiperfect Number

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
16
Digit product
64
Digital root
7
Palindrome
No
Bit width
17 bits
Reversed
821,221
Square (n²)
14,915,248,384
Cube (n³)
1,821,569,454,641,152
Divisor count
20
σ(n) — sum of divisors
251,100
φ(n) — Euler's totient
57,344
Sum of prime factors
474

Primality

Prime factorization: 2 4 × 17 × 449

Nearest primes: 122,117 (−11) · 122,131 (+3)

Divisors & multiples

All divisors (20)
1 · 2 · 4 · 8 · 16 · 17 · 34 · 68 · 136 · 272 · 449 · 898 · 1796 · 3592 · 7184 · 7633 · 15266 · 30532 · 61064 (half) · 122128
Aliquot sum (sum of proper divisors): 128,972
Factor pairs (a × b = 122,128)
1 × 122128
2 × 61064
4 × 30532
8 × 15266
16 × 7633
17 × 7184
34 × 3592
68 × 1796
136 × 898
272 × 449
First multiples
122,128 · 244,256 (double) · 366,384 · 488,512 · 610,640 · 732,768 · 854,896 · 977,024 · 1,099,152 · 1,221,280

Sums & aliquot sequence

As a sum of two squares: 32² + 348² = 192² + 292²
As consecutive integers: 7,176 + 7,177 + … + 7,192 3,801 + 3,802 + … + 3,832 48 + 49 + … + 496
Aliquot sequence: 122,128 128,972 108,748 87,924 129,804 184,356 298,434 298,446 298,458 364,902 377,610 553,782 553,794 602,238 881,538 1,161,342 1,939,938 — unresolved within range

Continued fraction of √n

√122,128 = [349; (2, 7, 2, 1, 4, 1, 4, 1, 1, 1, 3, 77, 2, 1, 1, 2, 7, 1, 1, 1, 5, 1, 1, 1, …)]

Representations

In words
one hundred twenty-two thousand one hundred twenty-eight
Ordinal
122128th
Binary
11101110100010000
Octal
356420
Hexadecimal
0x1DD10
Base64
Ad0Q
One's complement
4,294,845,167 (32-bit)
Scientific notation
1.22128 × 10⁵
As a duration
122,128 s = 1 day, 9 hours, 55 minutes, 28 seconds
In other bases
ternary (3) 20012112021
quaternary (4) 131310100
quinary (5) 12402003
senary (6) 2341224
septenary (7) 1016026
nonary (9) 205467
undecimal (11) 83836
duodecimal (12) 5a814
tridecimal (13) 43786
tetradecimal (14) 32716
pentadecimal (15) 262bd

As an angle

122,128° = 339 × 360° + 88°
88° ≈ 1.536 rad
Compass bearing: E (east)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓂍𓂍𓆼𓆼𓍢𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian)
͵ρκβρκηʹ
Mayan (base 20)
𝋯·𝋥·𝋦·𝋨
Chinese
一十二萬二千一百二十八
Chinese (financial)
壹拾貳萬貳仟壹佰貳拾捌
In other modern scripts
Eastern Arabic ١٢٢١٢٨ Devanagari १२२१२८ Bengali ১২২১২৮ Tamil ௧௨௨௧௨௮ Thai ๑๒๒๑๒๘ Tibetan ༡༢༢༡༢༨ Khmer ១២២១២៨ Lao ໑໒໒໑໒໘ Burmese ၁၂၂၁၂၈

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 122128, here are decompositions:

  • 11 + 122117 = 122128
  • 29 + 122099 = 122128
  • 47 + 122081 = 122128
  • 59 + 122069 = 122128
  • 89 + 122039 = 122128
  • 101 + 122027 = 122128
  • 107 + 122021 = 122128
  • 131 + 121997 = 122128

Showing the first eight; more decompositions exist.

Hex color
#01DD10
RGB(1, 221, 16)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.1.221.16.

Address
0.1.221.16
Class
reserved
IPv4-mapped IPv6
::ffff:0.1.221.16

Unspecified address (0.0.0.0/8) — "this network" placeholder.

Possible US patent number

This number falls in the range of US utility patent numbers. If it's a patent, it would be issued as US 122,128 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