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122,668

122,668 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.).

122,668 (one hundred twenty-two thousand six hundred sixty-eight) is an even 6-digit number. It is a composite number with 24 divisors, and factors as 2² × 7 × 13 × 337. Its proper divisors sum to 142,324, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x1DF2C.

Abundant Number Cube-Free Odious Number Pernicious Number Practical Number Semiperfect Number

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
25
Digit product
1,152
Digital root
7
Palindrome
No
Bit width
17 bits
Reversed
866,221
Square (n²)
15,047,438,224
Cube (n³)
1,845,839,152,061,632
Divisor count
24
σ(n) — sum of divisors
264,992
φ(n) — Euler's totient
48,384
Sum of prime factors
361

Primality

Prime factorization: 2 2 × 7 × 13 × 337

Nearest primes: 122,663 (−5) · 122,693 (+25)

Divisors & multiples

All divisors (24)
1 · 2 · 4 · 7 · 13 · 14 · 26 · 28 · 52 · 91 · 182 · 337 · 364 · 674 · 1348 · 2359 · 4381 · 4718 · 8762 · 9436 · 17524 · 30667 · 61334 (half) · 122668
Aliquot sum (sum of proper divisors): 142,324
Factor pairs (a × b = 122,668)
1 × 122668
2 × 61334
4 × 30667
7 × 17524
13 × 9436
14 × 8762
26 × 4718
28 × 4381
52 × 2359
91 × 1348
182 × 674
337 × 364
First multiples
122,668 · 245,336 (double) · 368,004 · 490,672 · 613,340 · 736,008 · 858,676 · 981,344 · 1,104,012 · 1,226,680

Sums & aliquot sequence

As consecutive integers: 17,521 + 17,522 + … + 17,527 15,330 + 15,331 + … + 15,337 9,430 + 9,431 + … + 9,442 2,163 + 2,164 + … + 2,218
Aliquot sequence: 122,668 142,324 196,364 196,420 303,548 322,084 322,140 806,820 1,951,068 3,252,004 3,676,764 7,421,820 16,963,716 32,788,924 32,788,980 83,260,044 165,584,916 — unresolved within range

Continued fraction of √n

√122,668 = [350; (4, 5, 1, 18, 1, 1, 1, 1, 1, 1, 1, 1, 6, 8, 2, 77, 2, 1, 3, 1, 1, 174, 1, 1, …)]

Period length 44 — the block in parentheses repeats forever.

Representations

In words
one hundred twenty-two thousand six hundred sixty-eight
Ordinal
122668th
Binary
11101111100101100
Octal
357454
Hexadecimal
0x1DF2C
Base64
Ad8s
One's complement
4,294,844,627 (32-bit)
Scientific notation
1.22668 × 10⁵
As a duration
122,668 s = 1 day, 10 hours, 4 minutes, 28 seconds
In other bases
ternary (3) 20020021021
quaternary (4) 131330230
quinary (5) 12411133
senary (6) 2343524
septenary (7) 1020430
nonary (9) 206237
undecimal (11) 84187
duodecimal (12) 5aba4
tridecimal (13) 43ab0
tetradecimal (14) 329c0
pentadecimal (15) 2652d

As an angle

122,668° = 340 × 360° + 268°
268° ≈ 4.677 rad
Compass bearing: W (west)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹𒁹 𒁹𒁹𒁹𒁹 𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓂍𓂍𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian)
͵ρκβχξηʹ
Mayan (base 20)
𝋯·𝋦·𝋭·𝋨
Chinese
一十二萬二千六百六十八
Chinese (financial)
壹拾貳萬貳仟陸佰陸拾捌
In other modern scripts
Eastern Arabic ١٢٢٦٦٨ Devanagari १२२६६८ Bengali ১২২৬৬৮ Tamil ௧௨௨௬௬௮ Thai ๑๒๒๖๖๘ Tibetan ༡༢༢༦༦༨ Khmer ១២២៦៦៨ Lao ໑໒໒໖໖໘ Burmese ၁၂၂၆၆၈

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 122668, here are decompositions:

  • 5 + 122663 = 122668
  • 17 + 122651 = 122668
  • 59 + 122609 = 122668
  • 71 + 122597 = 122668
  • 89 + 122579 = 122668
  • 107 + 122561 = 122668
  • 167 + 122501 = 122668
  • 179 + 122489 = 122668

Showing the first eight; more decompositions exist.

Hex color
#01DF2C
RGB(1, 223, 44)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.1.223.44.

Address
0.1.223.44
Class
reserved
IPv4-mapped IPv6
::ffff:0.1.223.44

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 122,668 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 122668 first appears in π at position 972,122 of the decimal expansion (the 972,122ordinal-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