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122,370

122,370 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.).

122,370 (one hundred twenty-two thousand three hundred seventy) is an even 6-digit number. It is a composite number with 16 divisors, and factors as 2 × 3 × 5 × 4,079. Its proper divisors sum to 171,390, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x1DE02.

Abundant Number Arithmetic Number Cube-Free Evil Number Gapful Number Harshad / Niven Semiperfect Number Squarefree

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
15
Digit product
0
Digital root
6
Palindrome
No
Bit width
17 bits
Reversed
73,221
Square (n²)
14,974,416,900
Cube (n³)
1,832,419,396,053,000
Divisor count
16
σ(n) — sum of divisors
293,760
φ(n) — Euler's totient
32,624
Sum of prime factors
4,089

Primality

Prime factorization: 2 × 3 × 5 × 4079

Nearest primes: 122,363 (−7) · 122,387 (+17)

Divisors & multiples

All divisors (16)
1 · 2 · 3 · 5 · 6 · 10 · 15 · 30 · 4079 · 8158 · 12237 · 20395 · 24474 · 40790 · 61185 (half) · 122370
Aliquot sum (sum of proper divisors): 171,390
Factor pairs (a × b = 122,370)
1 × 122370
2 × 61185
3 × 40790
5 × 24474
6 × 20395
10 × 12237
15 × 8158
30 × 4079
First multiples
122,370 · 244,740 (double) · 367,110 · 489,480 · 611,850 · 734,220 · 856,590 · 978,960 · 1,101,330 · 1,223,700

Sums & aliquot sequence

As consecutive integers: 40,789 + 40,790 + 40,791 30,591 + 30,592 + 30,593 + 30,594 24,472 + 24,473 + 24,474 + 24,475 + 24,476 10,192 + 10,193 + … + 10,203
Aliquot sequence: 122,370 171,390 256,290 358,878 439,458 439,470 767,970 1,658,142 1,934,538 1,948,278 2,083,002 2,083,014 2,577,018 2,577,030 4,224,378 4,252,902 4,274,778 — unresolved within range

Continued fraction of √n

√122,370 = [349; (1, 4, 2, 1, 1, 1, 1, 3, 1, 1, 9, 3, 2, 2, 3, 5, 7, 1, 2, 20, 4, 2, 1, 5, …)]

Representations

In words
one hundred twenty-two thousand three hundred seventy
Ordinal
122370th
Binary
11101111000000010
Octal
357002
Hexadecimal
0x1DE02
Base64
Ad4C
One's complement
4,294,844,925 (32-bit)
Scientific notation
1.2237 × 10⁵
As a duration
122,370 s = 1 day, 9 hours, 59 minutes, 30 seconds
In other bases
ternary (3) 20012212020
quaternary (4) 131320002
quinary (5) 12403440
senary (6) 2342310
septenary (7) 1016523
nonary (9) 205766
undecimal (11) 83a36
duodecimal (12) 5a996
tridecimal (13) 43911
tetradecimal (14) 3284a
pentadecimal (15) 263d0

As an angle

122,370° = 339 × 360° + 330°
330° ≈ 5.76 rad
Compass bearing: NNW (north-northwest)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋
Egyptian hieroglyphic
𓆐𓂍𓂍𓆼𓆼𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓎆
Greek (Milesian)
͵ρκβτοʹ
Mayan (base 20)
𝋯·𝋥·𝋲·𝋪
Chinese
一十二萬二千三百七十
Chinese (financial)
壹拾貳萬貳仟參佰柒拾
In other modern scripts
Eastern Arabic ١٢٢٣٧٠ Devanagari १२२३७० Bengali ১২২৩৭০ Tamil ௧௨௨௩௭௦ Thai ๑๒๒๓๗๐ Tibetan ༡༢༢༣༧༠ Khmer ១២២៣៧០ Lao ໑໒໒໓໗໐ Burmese ၁၂၂၃၇၀

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 122370, here are decompositions:

  • 7 + 122363 = 122370
  • 23 + 122347 = 122370
  • 43 + 122327 = 122370
  • 47 + 122323 = 122370
  • 71 + 122299 = 122370
  • 97 + 122273 = 122370
  • 103 + 122267 = 122370
  • 107 + 122263 = 122370

Showing the first eight; more decompositions exist.

Hex color
#01DE02
RGB(1, 222, 2)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.1.222.2.

Address
0.1.222.2
Class
reserved
IPv4-mapped IPv6
::ffff:0.1.222.2

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 122,370 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°.