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121,240

121,240 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.).

121,240 (one hundred twenty-one thousand two hundred forty) is an even 6-digit number. It is a composite number with 32 divisors, and factors as 2³ × 5 × 7 × 433. Its proper divisors sum to 191,240, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x1D998.

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

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
10
Digit product
0
Digital root
1
Palindrome
No
Bit width
17 bits
Reversed
42,121
Square (n²)
14,699,137,600
Cube (n³)
1,782,123,442,624,000
Divisor count
32
σ(n) — sum of divisors
312,480
φ(n) — Euler's totient
41,472
Sum of prime factors
451

Primality

Prime factorization: 2 3 × 5 × 7 × 433

Nearest primes: 121,229 (−11) · 121,259 (+19)

Divisors & multiples

All divisors (32)
1 · 2 · 4 · 5 · 7 · 8 · 10 · 14 · 20 · 28 · 35 · 40 · 56 · 70 · 140 · 280 · 433 · 866 · 1732 · 2165 · 3031 · 3464 · 4330 · 6062 · 8660 · 12124 · 15155 · 17320 · 24248 · 30310 · 60620 (half) · 121240
Aliquot sum (sum of proper divisors): 191,240
Factor pairs (a × b = 121,240)
1 × 121240
2 × 60620
4 × 30310
5 × 24248
7 × 17320
8 × 15155
10 × 12124
14 × 8660
20 × 6062
28 × 4330
35 × 3464
40 × 3031
56 × 2165
70 × 1732
140 × 866
280 × 433
First multiples
121,240 · 242,480 (double) · 363,720 · 484,960 · 606,200 · 727,440 · 848,680 · 969,920 · 1,091,160 · 1,212,400

Sums & aliquot sequence

As a sum of two cubes: 22³ + 48³
As consecutive integers: 24,246 + 24,247 + 24,248 + 24,249 + 24,250 17,317 + 17,318 + … + 17,323 7,570 + 7,571 + … + 7,585 3,447 + 3,448 + … + 3,481
Aliquot sequence: 121,240 191,240 301,240 418,040 657,640 861,920 1,174,744 1,027,916 849,316 751,416 1,149,384 1,763,736 2,985,624 5,100,636 7,212,084 11,288,748 16,601,604 — unresolved within range

Continued fraction of √n

√121,240 = [348; (5, 8, 2, 1, 1, 15, 4, 3, 5, 1, 28, 5, 1, 2, 1, 1, 2, 1, 1, 1, 5, 1, 1, 1, …)]

Representations

In words
one hundred twenty-one thousand two hundred forty
Ordinal
121240th
Binary
11101100110011000
Octal
354630
Hexadecimal
0x1D998
Base64
AdmY
One's complement
4,294,846,055 (32-bit)
Scientific notation
1.2124 × 10⁵
As a duration
121,240 s = 1 day, 9 hours, 40 minutes, 40 seconds
In other bases
ternary (3) 20011022101
quaternary (4) 131212120
quinary (5) 12334430
senary (6) 2333144
septenary (7) 1013320
nonary (9) 204271
undecimal (11) 830a9
duodecimal (12) 5a1b4
tridecimal (13) 43252
tetradecimal (14) 32280
pentadecimal (15) 25dca

As an angle

121,240° = 336 × 360° + 280°
280° ≈ 4.887 rad
Compass bearing: W (west)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹 𒌋𒌋𒌋𒌋 𒌋𒌋𒌋𒌋
Egyptian hieroglyphic
𓆐𓂍𓂍𓆼𓍢𓍢𓎆𓎆𓎆𓎆
Greek (Milesian)
͵ρκασμʹ
Mayan (base 20)
𝋯·𝋣·𝋢·𝋠
Chinese
一十二萬一千二百四十
Chinese (financial)
壹拾貳萬壹仟貳佰肆拾
In other modern scripts
Eastern Arabic ١٢١٢٤٠ Devanagari १२१२४० Bengali ১২১২৪০ Tamil ௧௨௧௨௪௦ Thai ๑๒๑๒๔๐ Tibetan ༡༢༡༢༤༠ Khmer ១២១២៤០ Lao ໑໒໑໒໔໐ Burmese ၁၂၁၂၄၀

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 121240, here are decompositions:

  • 11 + 121229 = 121240
  • 59 + 121181 = 121240
  • 71 + 121169 = 121240
  • 83 + 121157 = 121240
  • 89 + 121151 = 121240
  • 101 + 121139 = 121240
  • 173 + 121067 = 121240
  • 179 + 121061 = 121240

Showing the first eight; more decompositions exist.

Unicode codepoint
𝦘
Signwriting Movement-Wallplane Loop Small Double
U+1D998
Other symbol (So)

UTF-8 encoding: F0 9D A6 98 (4 bytes).

Hex color
#01D998
RGB(1, 217, 152)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.1.217.152.

Address
0.1.217.152
Class
reserved
IPv4-mapped IPv6
::ffff:0.1.217.152

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 121,240 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 121240 first appears in π at position 290,022 of the decimal expansion (the 290,022ordinal-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