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122,980

122,980 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.).

122,980 (one hundred twenty-two thousand nine hundred eighty) is an even 6-digit number. It is a composite number with 48 divisors, and factors as 2² × 5 × 11 × 13 × 43. Its proper divisors sum to 187,484, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x1E064.

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

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
22
Digit product
0
Digital root
4
Palindrome
No
Bit width
17 bits
Reversed
89,221
Square (n²)
15,124,080,400
Cube (n³)
1,859,959,407,592,000
Divisor count
48
σ(n) — sum of divisors
310,464
φ(n) — Euler's totient
40,320
Sum of prime factors
76

Primality

Prime factorization: 2 2 × 5 × 11 × 13 × 43

Nearest primes: 122,971 (−9) · 123,001 (+21)

Divisors & multiples

All divisors (48)
1 · 2 · 4 · 5 · 10 · 11 · 13 · 20 · 22 · 26 · 43 · 44 · 52 · 55 · 65 · 86 · 110 · 130 · 143 · 172 · 215 · 220 · 260 · 286 · 430 · 473 · 559 · 572 · 715 · 860 · 946 · 1118 · 1430 · 1892 · 2236 · 2365 · 2795 · 2860 · 4730 · 5590 · 6149 · 9460 · 11180 · 12298 · 24596 · 30745 · 61490 (half) · 122980
Aliquot sum (sum of proper divisors): 187,484
Factor pairs (a × b = 122,980)
1 × 122980
2 × 61490
4 × 30745
5 × 24596
10 × 12298
11 × 11180
13 × 9460
20 × 6149
22 × 5590
26 × 4730
43 × 2860
44 × 2795
52 × 2365
55 × 2236
65 × 1892
86 × 1430
110 × 1118
130 × 946
143 × 860
172 × 715
215 × 572
220 × 559
260 × 473
286 × 430
First multiples
122,980 · 245,960 (double) · 368,940 · 491,920 · 614,900 · 737,880 · 860,860 · 983,840 · 1,106,820 · 1,229,800

Sums & aliquot sequence

As consecutive integers: 24,594 + 24,595 + 24,596 + 24,597 + 24,598 15,369 + 15,370 + … + 15,376 11,175 + 11,176 + … + 11,185 9,454 + 9,455 + … + 9,466
Aliquot sequence: 122,980 187,484 170,524 131,876 98,914 58,820 72,724 54,550 47,006 27,274 16,826 9,094 4,550 5,866 4,214 3,310 2,666 — unresolved within range

Continued fraction of √n

√122,980 = [350; (1, 2, 5, 1, 2, 2, 13, 3, 17, 1, 1, 1, 13, 10, 1, 7, 1, 2, 1, 77, 5, 2, 1, 13, …)]

Period length 58 — the block in parentheses repeats forever.

Representations

In words
one hundred twenty-two thousand nine hundred eighty
Ordinal
122980th
Binary
11110000001100100
Octal
360144
Hexadecimal
0x1E064
Base64
AeBk
One's complement
4,294,844,315 (32-bit)
Scientific notation
1.2298 × 10⁵
As a duration
122,980 s = 1 day, 10 hours, 9 minutes, 40 seconds
In other bases
ternary (3) 20020200211
quaternary (4) 132001210
quinary (5) 12413410
senary (6) 2345204
septenary (7) 1021354
nonary (9) 206624
undecimal (11) 84440
duodecimal (12) 5b204
tridecimal (13) 43c90
tetradecimal (14) 32b64
pentadecimal (15) 2668a

As an angle

122,980° = 341 × 360° + 220°
220° ≈ 3.84 rad
Compass bearing: SW (southwest)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹𒁹 𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋
Egyptian hieroglyphic
𓆐𓂍𓂍𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆
Greek (Milesian)
͵ρκβϡπʹ
Mayan (base 20)
𝋯·𝋧·𝋩·𝋠
Chinese
一十二萬二千九百八十
Chinese (financial)
壹拾貳萬貳仟玖佰捌拾
In other modern scripts
Eastern Arabic ١٢٢٩٨٠ Devanagari १२२९८० Bengali ১২২৯৮০ Tamil ௧௨௨௯௮௦ Thai ๑๒๒๙๘๐ Tibetan ༡༢༢༩༨༠ Khmer ១២២៩៨០ Lao ໑໒໒໙໘໐ Burmese ၁၂၂၉၈၀

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 122980, here are decompositions:

  • 17 + 122963 = 122980
  • 23 + 122957 = 122980
  • 41 + 122939 = 122980
  • 59 + 122921 = 122980
  • 89 + 122891 = 122980
  • 113 + 122867 = 122980
  • 131 + 122849 = 122980
  • 191 + 122789 = 122980

Showing the first eight; more decompositions exist.

Unicode codepoint
𞁤
Cyrillic Subscript Small Letter Sha
U+1E064
Modifier letter (Lm)

UTF-8 encoding: F0 9E 81 A4 (4 bytes).

Hex color
#01E064
RGB(1, 224, 100)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.1.224.100.

Address
0.1.224.100
Class
reserved
IPv4-mapped IPv6
::ffff:0.1.224.100

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 122,980 and was likely granted around 1871.

Patent numbers below 100,000 are excluded as too ambiguous; modern numbering currently reaches roughly 12.5 million.

Position in π

The digit sequence 122980 first appears in π at position 659,642 of the decimal expansion (the 659,642ordinal-suffix:nd 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