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122,130

122,130 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.).

122,130 (one hundred twenty-two thousand one hundred thirty) is an even 6-digit number. It is a composite number with 48 divisors, and factors as 2 × 3² × 5 × 23 × 59. Its proper divisors sum to 214,830, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x1DD12.

Abundant Number Arithmetic Number Cube-Free Gapful Number Happy Number Harshad / Niven Odious Number Practical Number Semiperfect Number

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
9
Digit product
0
Digital root
9
Palindrome
No
Bit width
17 bits
Reversed
31,221
Square (n²)
14,915,736,900
Cube (n³)
1,821,658,947,597,000
Divisor count
48
σ(n) — sum of divisors
336,960
φ(n) — Euler's totient
30,624
Sum of prime factors
95

Primality

Prime factorization: 2 × 3 2 × 5 × 23 × 59

Nearest primes: 122,117 (−13) · 122,131 (+1)

Divisors & multiples

All divisors (48)
1 · 2 · 3 · 5 · 6 · 9 · 10 · 15 · 18 · 23 · 30 · 45 · 46 · 59 · 69 · 90 · 115 · 118 · 138 · 177 · 207 · 230 · 295 · 345 · 354 · 414 · 531 · 590 · 690 · 885 · 1035 · 1062 · 1357 · 1770 · 2070 · 2655 · 2714 · 4071 · 5310 · 6785 · 8142 · 12213 · 13570 · 20355 · 24426 · 40710 · 61065 (half) · 122130
Aliquot sum (sum of proper divisors): 214,830
Factor pairs (a × b = 122,130)
1 × 122130
2 × 61065
3 × 40710
5 × 24426
6 × 20355
9 × 13570
10 × 12213
15 × 8142
18 × 6785
23 × 5310
30 × 4071
45 × 2714
46 × 2655
59 × 2070
69 × 1770
90 × 1357
115 × 1062
118 × 1035
138 × 885
177 × 690
207 × 590
230 × 531
295 × 414
345 × 354
First multiples
122,130 · 244,260 (double) · 366,390 · 488,520 · 610,650 · 732,780 · 854,910 · 977,040 · 1,099,170 · 1,221,300

Sums & aliquot sequence

As consecutive integers: 40,709 + 40,710 + 40,711 30,531 + 30,532 + 30,533 + 30,534 24,424 + 24,425 + 24,426 + 24,427 + 24,428 13,566 + 13,567 + … + 13,574
Aliquot sequence: 122,130 214,830 504,018 588,060 1,445,244 2,044,116 3,326,886 4,066,314 5,394,774 8,058,282 8,058,294 9,401,382 11,466,738 15,515,982 18,964,098 25,013,502 30,572,178 — unresolved within range

Continued fraction of √n

√122,130 = [349; (2, 8, 7, 1, 2, 1, 3, 1, 1, 2, 49, 1, 1, 6, 1, 13, 2, 1, 1, 14, 1, 1, 2, 13, …)]

Period length 40 — the block in parentheses repeats forever.

Representations

In words
one hundred twenty-two thousand one hundred thirty
Ordinal
122130th
Binary
11101110100010010
Octal
356422
Hexadecimal
0x1DD12
Base64
Ad0S
One's complement
4,294,845,165 (32-bit)
Scientific notation
1.2213 × 10⁵
As a duration
122,130 s = 1 day, 9 hours, 55 minutes, 30 seconds
In other bases
ternary (3) 20012112100
quaternary (4) 131310102
quinary (5) 12402010
senary (6) 2341230
septenary (7) 1016031
nonary (9) 205470
undecimal (11) 83838
duodecimal (12) 5a816
tridecimal (13) 43788
tetradecimal (14) 32718
pentadecimal (15) 262c0
Palindromic in base 11

As an angle

122,130° = 339 × 360° + 90°
90° ≈ 1.571 rad
Compass bearing: E (east)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋
Egyptian hieroglyphic
𓆐𓂍𓂍𓆼𓆼𓍢𓎆𓎆𓎆
Greek (Milesian)
͵ρκβρλʹ
Mayan (base 20)
𝋯·𝋥·𝋦·𝋪
Chinese
一十二萬二千一百三十
Chinese (financial)
壹拾貳萬貳仟壹佰參拾
In other modern scripts
Eastern Arabic ١٢٢١٣٠ Devanagari १२२१३० Bengali ১২২১৩০ Tamil ௧௨௨௧௩௦ Thai ๑๒๒๑๓๐ Tibetan ༡༢༢༡༣༠ Khmer ១២២១៣០ Lao ໑໒໒໑໓໐ Burmese ၁၂၂၁၃၀

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 122130, here are decompositions:

  • 13 + 122117 = 122130
  • 31 + 122099 = 122130
  • 61 + 122069 = 122130
  • 79 + 122051 = 122130
  • 89 + 122041 = 122130
  • 97 + 122033 = 122130
  • 101 + 122029 = 122130
  • 103 + 122027 = 122130

Showing the first eight; more decompositions exist.

Hex color
#01DD12
RGB(1, 221, 18)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.1.221.18.

Address
0.1.221.18
Class
reserved
IPv4-mapped IPv6
::ffff:0.1.221.18

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 122,130 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°.