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122,478

122,478 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.).

122,478 (one hundred twenty-two thousand four hundred seventy-eight) is an even 6-digit number. It is a composite number with 16 divisors, and factors as 2 × 3 × 137 × 149. Its proper divisors sum to 125,922, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x1DE6E.

Abundant Number Arithmetic Number Cube-Free Evil Number Recamán's Sequence Semiperfect Number Squarefree

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
24
Digit product
896
Digital root
6
Palindrome
No
Bit width
17 bits
Reversed
874,221
Recamán's sequence
a(30,008) = 122,478
Square (n²)
15,000,860,484
Cube (n³)
1,837,275,390,359,352
Divisor count
16
σ(n) — sum of divisors
248,400
φ(n) — Euler's totient
40,256
Sum of prime factors
291

Primality

Prime factorization: 2 × 3 × 137 × 149

Nearest primes: 122,477 (−1) · 122,489 (+11)

Divisors & multiples

All divisors (16)
1 · 2 · 3 · 6 · 137 · 149 · 274 · 298 · 411 · 447 · 822 · 894 · 20413 · 40826 · 61239 (half) · 122478
Aliquot sum (sum of proper divisors): 125,922
Factor pairs (a × b = 122,478)
1 × 122478
2 × 61239
3 × 40826
6 × 20413
137 × 894
149 × 822
274 × 447
298 × 411
First multiples
122,478 · 244,956 (double) · 367,434 · 489,912 · 612,390 · 734,868 · 857,346 · 979,824 · 1,102,302 · 1,224,780

Sums & aliquot sequence

As consecutive integers: 40,825 + 40,826 + 40,827 30,618 + 30,619 + 30,620 + 30,621 10,201 + 10,202 + … + 10,212 826 + 827 + … + 962
Aliquot sequence: 122,478 125,922 134,430 188,274 188,286 242,178 247,038 323,202 402,558 471,450 867,750 1,490,970 2,363,622 2,388,570 3,407,142 3,407,154 3,435,726 — unresolved within range

Continued fraction of √n

√122,478 = [349; (1, 30, 1, 4, 2, 5, 3, 36, 1, 1, 9, 1, 1, 1, 3, 9, 3, 5, 1, 1, 1, 1, 3, 2, …)]

Period length 48 — the block in parentheses repeats forever.

Representations

In words
one hundred twenty-two thousand four hundred seventy-eight
Ordinal
122478th
Binary
11101111001101110
Octal
357156
Hexadecimal
0x1DE6E
Base64
Ad5u
One's complement
4,294,844,817 (32-bit)
Scientific notation
1.22478 × 10⁵
As a duration
122,478 s = 1 day, 10 hours, 1 minute, 18 seconds
In other bases
ternary (3) 20020000020
quaternary (4) 131321232
quinary (5) 12404403
senary (6) 2343010
septenary (7) 1020036
nonary (9) 206006
undecimal (11) 84024
duodecimal (12) 5aa66
tridecimal (13) 43995
tetradecimal (14) 328c6
pentadecimal (15) 26453

As an angle

122,478° = 340 × 360° + 78°
78° ≈ 1.361 rad
Compass bearing: ENE (east-northeast)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹𒁹 𒁹 𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓂍𓂍𓆼𓆼𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian)
͵ρκβυοηʹ
Mayan (base 20)
𝋯·𝋦·𝋣·𝋲
Chinese
一十二萬二千四百七十八
Chinese (financial)
壹拾貳萬貳仟肆佰柒拾捌
In other modern scripts
Eastern Arabic ١٢٢٤٧٨ Devanagari १२२४७८ Bengali ১২২৪৭৮ Tamil ௧௨௨௪௭௮ Thai ๑๒๒๔๗๘ Tibetan ༡༢༢༤༧༨ Khmer ១២២៤៧៨ Lao ໑໒໒໔໗໘ Burmese ၁၂၂၄၇၈

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 122478, here are decompositions:

  • 7 + 122471 = 122478
  • 29 + 122449 = 122478
  • 79 + 122399 = 122478
  • 89 + 122389 = 122478
  • 131 + 122347 = 122478
  • 151 + 122327 = 122478
  • 157 + 122321 = 122478
  • 179 + 122299 = 122478

Showing the first eight; more decompositions exist.

Hex color
#01DE6E
RGB(1, 222, 110)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.1.222.110.

Address
0.1.222.110
Class
reserved
IPv4-mapped IPv6
::ffff:0.1.222.110

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 122,478 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 122478 first appears in π at position 118,888 of the decimal expansion (the 118,888ordinal-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°.