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122,712

122,712 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.).

122,712 (one hundred twenty-two thousand seven hundred twelve) is an even 6-digit number. It is a composite number with 16 divisors, and factors as 2³ × 3 × 5,113. Its proper divisors sum to 184,128, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x1DF58.

Abundant Number Gapful Number Odious Number Pernicious Number Semiperfect Number

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
15
Digit product
56
Digital root
6
Palindrome
No
Bit width
17 bits
Reversed
217,221
Square (n²)
15,058,234,944
Cube (n³)
1,847,826,126,448,128
Divisor count
16
σ(n) — sum of divisors
306,840
φ(n) — Euler's totient
40,896
Sum of prime factors
5,122

Primality

Prime factorization: 2 3 × 3 × 5113

Nearest primes: 122,701 (−11) · 122,719 (+7)

Divisors & multiples

All divisors (16)
1 · 2 · 3 · 4 · 6 · 8 · 12 · 24 · 5113 · 10226 · 15339 · 20452 · 30678 · 40904 · 61356 (half) · 122712
Aliquot sum (sum of proper divisors): 184,128
Factor pairs (a × b = 122,712)
1 × 122712
2 × 61356
3 × 40904
4 × 30678
6 × 20452
8 × 15339
12 × 10226
24 × 5113
First multiples
122,712 · 245,424 (double) · 368,136 · 490,848 · 613,560 · 736,272 · 858,984 · 981,696 · 1,104,408 · 1,227,120

Sums & aliquot sequence

As consecutive integers: 40,903 + 40,904 + 40,905 7,662 + 7,663 + … + 7,677 2,533 + 2,534 + … + 2,580
Aliquot sequence: 122,712 184,128 376,704 745,296 1,180,176 2,004,144 3,299,088 6,450,288 11,496,480 25,626,144 42,075,168 69,945,888 124,467,072 217,579,728 354,035,472 752,715,120 1,717,974,960 — unresolved within range

Continued fraction of √n

√122,712 = [350; (3, 3, 3, 2, 1, 2, 1, 1, 7, 2, 9, 2, 1, 1, 28, 1, 1, 2, 9, 2, 7, 1, 1, 2, …)]

Period length 30 — the block in parentheses repeats forever.

Representations

In words
one hundred twenty-two thousand seven hundred twelve
Ordinal
122712th
Binary
11101111101011000
Octal
357530
Hexadecimal
0x1DF58
Base64
Ad9Y
One's complement
4,294,844,583 (32-bit)
Scientific notation
1.22712 × 10⁵
As a duration
122,712 s = 1 day, 10 hours, 5 minutes, 12 seconds
In other bases
ternary (3) 20020022220
quaternary (4) 131331120
quinary (5) 12411322
senary (6) 2344040
septenary (7) 1020522
nonary (9) 206286
undecimal (11) 84217
duodecimal (12) 5b020
tridecimal (13) 43b15
tetradecimal (14) 32a12
pentadecimal (15) 2655c

As an angle

122,712° = 340 × 360° + 312°
312° ≈ 5.445 rad
Compass bearing: NW (northwest)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹𒁹 𒁹𒁹𒁹𒁹𒁹 𒌋𒁹𒁹
Egyptian hieroglyphic
𓆐𓂍𓂍𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓏺𓏺
Greek (Milesian)
͵ρκβψιβʹ
Mayan (base 20)
𝋯·𝋦·𝋯·𝋬
Chinese
一十二萬二千七百一十二
Chinese (financial)
壹拾貳萬貳仟柒佰壹拾貳
In other modern scripts
Eastern Arabic ١٢٢٧١٢ Devanagari १२२७१२ Bengali ১২২৭১২ Tamil ௧௨௨௭௧௨ Thai ๑๒๒๗๑๒ Tibetan ༡༢༢༧༡༢ Khmer ១២២៧១២ Lao ໑໒໒໗໑໒ Burmese ၁၂၂၇၁၂

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 122712, here are decompositions:

  • 11 + 122701 = 122712
  • 19 + 122693 = 122712
  • 59 + 122653 = 122712
  • 61 + 122651 = 122712
  • 101 + 122611 = 122712
  • 103 + 122609 = 122712
  • 113 + 122599 = 122712
  • 151 + 122561 = 122712

Showing the first eight; more decompositions exist.

Hex color
#01DF58
RGB(1, 223, 88)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.1.223.88.

Address
0.1.223.88
Class
reserved
IPv4-mapped IPv6
::ffff:0.1.223.88

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 122,712 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 122712 first appears in π at position 365,769 of the decimal expansion (the 365,769ordinal-suffix:th 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

  • Babylonian numerals — The base-60 cuneiform system that gave us 60 minutes, 60 seconds, and 360°.