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122,560

122,560 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.).

122,560 (one hundred twenty-two thousand five hundred sixty) is an even 6-digit number. It is a composite number with 28 divisors, and factors as 2⁶ × 5 × 383. Its proper divisors sum to 170,048, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x1DEC0.

Abundant Number Gapful Number Happy Number Harshad / Niven Odious Number Practical Number Semiperfect Number

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
16
Digit product
0
Digital root
7
Palindrome
No
Bit width
17 bits
Reversed
65,221
Square (n²)
15,020,953,600
Cube (n³)
1,840,968,073,216,000
Divisor count
28
σ(n) — sum of divisors
292,608
φ(n) — Euler's totient
48,896
Sum of prime factors
400

Primality

Prime factorization: 2 6 × 5 × 383

Nearest primes: 122,557 (−3) · 122,561 (+1)

Divisors & multiples

All divisors (28)
1 · 2 · 4 · 5 · 8 · 10 · 16 · 20 · 32 · 40 · 64 · 80 · 160 · 320 · 383 · 766 · 1532 · 1915 · 3064 · 3830 · 6128 · 7660 · 12256 · 15320 · 24512 · 30640 · 61280 (half) · 122560
Aliquot sum (sum of proper divisors): 170,048
Factor pairs (a × b = 122,560)
1 × 122560
2 × 61280
4 × 30640
5 × 24512
8 × 15320
10 × 12256
16 × 7660
20 × 6128
32 × 3830
40 × 3064
64 × 1915
80 × 1532
160 × 766
320 × 383
First multiples
122,560 · 245,120 (double) · 367,680 · 490,240 · 612,800 · 735,360 · 857,920 · 980,480 · 1,103,040 · 1,225,600

Sums & aliquot sequence

As consecutive integers: 24,510 + 24,511 + 24,512 + 24,513 + 24,514 894 + 895 + … + 1,021 129 + 130 + … + 511
Aliquot sequence: 122,560 170,048 167,518 119,762 61,354 30,680 44,920 56,240 85,120 159,680 221,320 323,000 519,400 911,870 755,218 420,632 368,068 — unresolved within range

Continued fraction of √n

√122,560 = [350; (11, 1, 2, 77, 2, 4, 1, 13, 2, 8, 6, 5, 3, 1, 3, 1, 1, 1, 3, 1, 5, 1, 1, 10, …)]

Representations

In words
one hundred twenty-two thousand five hundred sixty
Ordinal
122560th
Binary
11101111011000000
Octal
357300
Hexadecimal
0x1DEC0
Base64
Ad7A
One's complement
4,294,844,735 (32-bit)
Scientific notation
1.2256 × 10⁵
As a duration
122,560 s = 1 day, 10 hours, 2 minutes, 40 seconds
In other bases
ternary (3) 20020010021
quaternary (4) 131323000
quinary (5) 12410220
senary (6) 2343224
septenary (7) 1020214
nonary (9) 206107
undecimal (11) 84099
duodecimal (12) 5ab14
tridecimal (13) 43a29
tetradecimal (14) 32944
pentadecimal (15) 264aa

As an angle

122,560° = 340 × 360° + 160°
160° ≈ 2.793 rad
Compass bearing: SSE (south-southeast)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹𒁹 𒁹𒁹 𒌋𒌋𒌋𒌋
Egyptian hieroglyphic
𓆐𓂍𓂍𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆
Greek (Milesian)
͵ρκβφξʹ
Mayan (base 20)
𝋯·𝋦·𝋨·𝋠
Chinese
一十二萬二千五百六十
Chinese (financial)
壹拾貳萬貳仟伍佰陸拾
In other modern scripts
Eastern Arabic ١٢٢٥٦٠ Devanagari १२२५६० Bengali ১২২৫৬০ Tamil ௧௨௨௫௬௦ Thai ๑๒๒๕๖๐ Tibetan ༡༢༢༥༦༠ Khmer ១២២៥៦០ Lao ໑໒໒໕໖໐ Burmese ၁၂၂၅၆၀

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 122560, here are decompositions:

  • 3 + 122557 = 122560
  • 59 + 122501 = 122560
  • 71 + 122489 = 122560
  • 83 + 122477 = 122560
  • 89 + 122471 = 122560
  • 107 + 122453 = 122560
  • 167 + 122393 = 122560
  • 173 + 122387 = 122560

Showing the first eight; more decompositions exist.

Hex color
#01DEC0
RGB(1, 222, 192)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.1.222.192.

Address
0.1.222.192
Class
reserved
IPv4-mapped IPv6
::ffff:0.1.222.192

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 122,560 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