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122,188

122,188 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.).

122,188 (one hundred twenty-two thousand one hundred eighty-eight) is an even 6-digit number. It is a composite number with 12 divisors, and factors as 2² × 11 × 2,777. Written other ways, in hexadecimal, 0x1DD4C.

Arithmetic Number Cube-Free Deficient Number Evil Number Harshad / Niven

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
22
Digit product
256
Digital root
4
Palindrome
No
Bit width
17 bits
Reversed
881,221
Square (n²)
14,929,907,344
Cube (n³)
1,824,255,518,548,672
Divisor count
12
σ(n) — sum of divisors
233,352
φ(n) — Euler's totient
55,520
Sum of prime factors
2,792

Primality

Prime factorization: 2 2 × 11 × 2777

Nearest primes: 122,173 (−15) · 122,201 (+13)

Divisors & multiples

All divisors (12)
1 · 2 · 4 · 11 · 22 · 44 · 2777 · 5554 · 11108 · 30547 · 61094 (half) · 122188
Aliquot sum (sum of proper divisors): 111,164
Factor pairs (a × b = 122,188)
1 × 122188
2 × 61094
4 × 30547
11 × 11108
22 × 5554
44 × 2777
First multiples
122,188 · 244,376 (double) · 366,564 · 488,752 · 610,940 · 733,128 · 855,316 · 977,504 · 1,099,692 · 1,221,880

Sums & aliquot sequence

As consecutive integers: 15,270 + 15,271 + … + 15,277 11,103 + 11,104 + … + 11,113 1,345 + 1,346 + … + 1,432
Aliquot sequence: 122,188 111,164 83,380 108,140 118,996 92,684 88,756 66,574 33,290 26,650 28,034 14,734 7,946 4,474 2,240 3,856 3,646 — unresolved within range

Continued fraction of √n

√122,188 = [349; (1, 1, 4, 7, 1, 2, 1, 1, 2, 174, 2, 1, 1, 2, 1, 7, 4, 1, 1, 698)]

Period length 20 — the block in parentheses repeats forever.

Representations

In words
one hundred twenty-two thousand one hundred eighty-eight
Ordinal
122188th
Binary
11101110101001100
Octal
356514
Hexadecimal
0x1DD4C
Base64
Ad1M
One's complement
4,294,845,107 (32-bit)
Scientific notation
1.22188 × 10⁵
As a duration
122,188 s = 1 day, 9 hours, 56 minutes, 28 seconds
In other bases
ternary (3) 20012121111
quaternary (4) 131311030
quinary (5) 12402223
senary (6) 2341404
septenary (7) 1016143
nonary (9) 205544
undecimal (11) 83890
duodecimal (12) 5a864
tridecimal (13) 43801
tetradecimal (14) 3275a
pentadecimal (15) 2630d

As an angle

122,188° = 339 × 360° + 148°
148° ≈ 2.583 rad
Compass bearing: SSE (south-southeast)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓂍𓂍𓆼𓆼𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian)
͵ρκβρπηʹ
Mayan (base 20)
𝋯·𝋥·𝋩·𝋨
Chinese
一十二萬二千一百八十八
Chinese (financial)
壹拾貳萬貳仟壹佰捌拾捌
In other modern scripts
Eastern Arabic ١٢٢١٨٨ Devanagari १२२१८८ Bengali ১২২১৮৮ Tamil ௧௨௨௧௮௮ Thai ๑๒๒๑๘๘ Tibetan ༡༢༢༡༨༨ Khmer ១២២១៨៨ Lao ໑໒໒໑໘໘ Burmese ၁၂၂၁၈၈

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 122188, here are decompositions:

  • 41 + 122147 = 122188
  • 71 + 122117 = 122188
  • 89 + 122099 = 122188
  • 107 + 122081 = 122188
  • 137 + 122051 = 122188
  • 149 + 122039 = 122188
  • 167 + 122021 = 122188
  • 191 + 121997 = 122188

Showing the first eight; more decompositions exist.

Hex color
#01DD4C
RGB(1, 221, 76)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.1.221.76.

Address
0.1.221.76
Class
reserved
IPv4-mapped IPv6
::ffff:0.1.221.76

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 122,188 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 122188 first appears in π at position 42,952 of the decimal expansion (the 42,952ordinal-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