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122,700

122,700 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.).

122,700 (one hundred twenty-two thousand seven hundred) is an even 6-digit number. It is a composite number with 36 divisors, and factors as 2² × 3 × 5² × 409. Its proper divisors sum to 233,180, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x1DF4C.

Abundant Number Cube-Free Gapful Number Harshad / Niven Odious Number Pernicious Number Practical Number Recamán's Sequence Semiperfect Number

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
12
Digit product
0
Digital root
3
Palindrome
No
Bit width
17 bits
Reversed
7,221
Recamán's sequence
a(30,284) = 122,700
Square (n²)
15,055,290,000
Cube (n³)
1,847,284,083,000,000
Divisor count
36
σ(n) — sum of divisors
355,880
φ(n) — Euler's totient
32,640
Sum of prime factors
426

Primality

Prime factorization: 2 2 × 3 × 5 2 × 409

Nearest primes: 122,693 (−7) · 122,701 (+1)

Divisors & multiples

All divisors (36)
1 · 2 · 3 · 4 · 5 · 6 · 10 · 12 · 15 · 20 · 25 · 30 · 50 · 60 · 75 · 100 · 150 · 300 · 409 · 818 · 1227 · 1636 · 2045 · 2454 · 4090 · 4908 · 6135 · 8180 · 10225 · 12270 · 20450 · 24540 · 30675 · 40900 · 61350 (half) · 122700
Aliquot sum (sum of proper divisors): 233,180
Factor pairs (a × b = 122,700)
1 × 122700
2 × 61350
3 × 40900
4 × 30675
5 × 24540
6 × 20450
10 × 12270
12 × 10225
15 × 8180
20 × 6135
25 × 4908
30 × 4090
50 × 2454
60 × 2045
75 × 1636
100 × 1227
150 × 818
300 × 409
First multiples
122,700 · 245,400 (double) · 368,100 · 490,800 · 613,500 · 736,200 · 858,900 · 981,600 · 1,104,300 · 1,227,000

Sums & aliquot sequence

As consecutive integers: 40,899 + 40,900 + 40,901 24,538 + 24,539 + 24,540 + 24,541 + 24,542 15,334 + 15,335 + … + 15,341 8,173 + 8,174 + … + 8,187
Aliquot sequence: 122,700 233,180 265,780 302,228 226,678 142,682 71,344 102,256 147,728 179,632 175,008 284,640 613,488 971,480 1,242,520 1,553,240 2,377,960 — unresolved within range

Continued fraction of √n

√122,700 = [350; (3, 1, 1, 174, 1, 1, 3, 700)]

Period length 8 — the block in parentheses repeats forever.

Representations

In words
one hundred twenty-two thousand seven hundred
Ordinal
122700th
Binary
11101111101001100
Octal
357514
Hexadecimal
0x1DF4C
Base64
Ad9M
One's complement
4,294,844,595 (32-bit)
Scientific notation
1.227 × 10⁵
As a duration
122,700 s = 1 day, 10 hours, 5 minutes
In other bases
ternary (3) 20020022110
quaternary (4) 131331030
quinary (5) 12411300
senary (6) 2344020
septenary (7) 1020504
nonary (9) 206273
undecimal (11) 84206
duodecimal (12) 5b010
tridecimal (13) 43b06
tetradecimal (14) 32a04
pentadecimal (15) 26550

As an angle

122,700° = 340 × 360° + 300°
300° ≈ 5.236 rad
Compass bearing: WNW (west-northwest)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹𒁹 𒁹𒁹𒁹𒁹𒁹 ·
Egyptian hieroglyphic
𓆐𓂍𓂍𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢
Greek (Milesian)
͵ρκβψʹ
Mayan (base 20)
𝋯·𝋦·𝋯·𝋠
Chinese
一十二萬二千七百
Chinese (financial)
壹拾貳萬貳仟柒佰
In other modern scripts
Eastern Arabic ١٢٢٧٠٠ Devanagari १२२७०० Bengali ১২২৭০০ Tamil ௧௨௨௭௦௦ Thai ๑๒๒๗๐๐ Tibetan ༡༢༢༧༠༠ Khmer ១២២៧០០ Lao ໑໒໒໗໐໐ Burmese ၁၂၂၇၀၀

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 122700, here are decompositions:

  • 7 + 122693 = 122700
  • 37 + 122663 = 122700
  • 47 + 122653 = 122700
  • 89 + 122611 = 122700
  • 101 + 122599 = 122700
  • 103 + 122597 = 122700
  • 139 + 122561 = 122700
  • 167 + 122533 = 122700

Showing the first eight; more decompositions exist.

Hex color
#01DF4C
RGB(1, 223, 76)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.1.223.76.

Address
0.1.223.76
Class
reserved
IPv4-mapped IPv6
::ffff:0.1.223.76

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 122,700 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°.