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121,560

121,560 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.).

121,560 (one hundred twenty-one thousand five hundred sixty) is an even 6-digit number. It is a composite number with 32 divisors, and factors as 2³ × 3 × 5 × 1,013. Its proper divisors sum to 243,480, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x1DAD8.

Abundant Number Evil Number Gapful Number Harshad / Niven Semiperfect Number

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
15
Digit product
0
Digital root
6
Palindrome
No
Bit width
17 bits
Reversed
65,121
Square (n²)
14,776,833,600
Cube (n³)
1,796,271,892,416,000
Divisor count
32
σ(n) — sum of divisors
365,040
φ(n) — Euler's totient
32,384
Sum of prime factors
1,027

Primality

Prime factorization: 2 3 × 3 × 5 × 1013

Nearest primes: 121,559 (−1) · 121,571 (+11)

Divisors & multiples

All divisors (32)
1 · 2 · 3 · 4 · 5 · 6 · 8 · 10 · 12 · 15 · 20 · 24 · 30 · 40 · 60 · 120 · 1013 · 2026 · 3039 · 4052 · 5065 · 6078 · 8104 · 10130 · 12156 · 15195 · 20260 · 24312 · 30390 · 40520 · 60780 (half) · 121560
Aliquot sum (sum of proper divisors): 243,480
Factor pairs (a × b = 121,560)
1 × 121560
2 × 60780
3 × 40520
4 × 30390
5 × 24312
6 × 20260
8 × 15195
10 × 12156
12 × 10130
15 × 8104
20 × 6078
24 × 5065
30 × 4052
40 × 3039
60 × 2026
120 × 1013
First multiples
121,560 · 243,120 (double) · 364,680 · 486,240 · 607,800 · 729,360 · 850,920 · 972,480 · 1,094,040 · 1,215,600

Sums & aliquot sequence

As consecutive integers: 40,519 + 40,520 + 40,521 24,310 + 24,311 + 24,312 + 24,313 + 24,314 8,097 + 8,098 + … + 8,111 7,590 + 7,591 + … + 7,605
Aliquot sequence: 121,560 243,480 487,320 1,033,320 2,134,680 4,269,720 13,148,520 36,064,920 79,019,880 162,079,320 366,999,720 733,999,800 1,545,519,480 3,156,368,520 6,312,737,400 13,931,614,200 — keeps growing

Continued fraction of √n

√121,560 = [348; (1, 1, 1, 8, 1, 1, 28, 1, 1, 8, 1, 1, 1, 696)]

Period length 14 — the block in parentheses repeats forever.

Representations

In words
one hundred twenty-one thousand five hundred sixty
Ordinal
121560th
Binary
11101101011011000
Octal
355330
Hexadecimal
0x1DAD8
Base64
AdrY
One's complement
4,294,845,735 (32-bit)
Scientific notation
1.2156 × 10⁵
As a duration
121,560 s = 1 day, 9 hours, 46 minutes
In other bases
ternary (3) 20011202020
quaternary (4) 131223120
quinary (5) 12342220
senary (6) 2334440
septenary (7) 1014255
nonary (9) 204666
undecimal (11) 8336a
duodecimal (12) 5a420
tridecimal (13) 4343a
tetradecimal (14) 3242c
pentadecimal (15) 26040

As an angle

121,560° = 337 × 360° + 240°
240° ≈ 4.189 rad
Compass bearing: WSW (west-southwest)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹 ·
Egyptian hieroglyphic
𓆐𓂍𓂍𓆼𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆
Greek (Milesian)
͵ρκαφξʹ
Mayan (base 20)
𝋯·𝋣·𝋲·𝋠
Chinese
一十二萬一千五百六十
Chinese (financial)
壹拾貳萬壹仟伍佰陸拾
In other modern scripts
Eastern Arabic ١٢١٥٦٠ Devanagari १२१५६० Bengali ১২১৫৬০ Tamil ௧௨௧௫௬௦ Thai ๑๒๑๕๖๐ Tibetan ༡༢༡༥༦༠ Khmer ១២១៥៦០ Lao ໑໒໑໕໖໐ Burmese ၁၂၁၅၆၀

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 121560, here are decompositions:

  • 7 + 121553 = 121560
  • 13 + 121547 = 121560
  • 29 + 121531 = 121560
  • 37 + 121523 = 121560
  • 53 + 121507 = 121560
  • 59 + 121501 = 121560
  • 67 + 121493 = 121560
  • 73 + 121487 = 121560

Showing the first eight; more decompositions exist.

Hex color
#01DAD8
RGB(1, 218, 216)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.1.218.216.

Address
0.1.218.216
Class
reserved
IPv4-mapped IPv6
::ffff:0.1.218.216

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 121,560 and was likely granted around 1871.

Patent numbers below 100,000 are excluded as too ambiguous; modern numbering currently reaches roughly 12.5 million.

Position in π

The digit sequence 121560 first appears in π at position 191,842 of the decimal expansion (the 191,842ordinal-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

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