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121,500

121,500 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.).

121,500 (one hundred twenty-one thousand five hundred) is an even 6-digit number. It is a composite number with 72 divisors, and factors as 2² × 3⁵ × 5³. Its proper divisors sum to 275,988, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x1DA9C.

Abundant Number Achilles Number Evil Number Gapful Number Happy Number Harshad / Niven Powerful Number Practical Number Weird Number

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
9
Digit product
0
Digital root
9
Palindrome
No
Bit width
17 bits
Reversed
5,121
Square (n²)
14,762,250,000
Cube (n³)
1,793,613,375,000,000
Divisor count
72
σ(n) — sum of divisors
397,488
φ(n) — Euler's totient
32,400
Sum of prime factors
34

Primality

Prime factorization: 2 2 × 3 5 × 5 3

Nearest primes: 121,493 (−7) · 121,501 (+1)

Divisors & multiples

All divisors (72)
1 · 2 · 3 · 4 · 5 · 6 · 9 · 10 · 12 · 15 · 18 · 20 · 25 · 27 · 30 · 36 · 45 · 50 · 54 · 60 · 75 · 81 · 90 · 100 · 108 · 125 · 135 · 150 · 162 · 180 · 225 · 243 · 250 · 270 · 300 · 324 · 375 · 405 · 450 · 486 · 500 · 540 · 675 · 750 · 810 · 900 · 972 · 1125 · 1215 · 1350 · 1500 · 1620 · 2025 · 2250 · 2430 · 2700 · 3375 · 4050 · 4500 · 4860 · 6075 · 6750 · 8100 · 10125 · 12150 · 13500 · 20250 · 24300 · 30375 · 40500 · 60750 (half) · 121500
Aliquot sum (sum of proper divisors): 275,988
Factor pairs (a × b = 121,500)
1 × 121500
2 × 60750
3 × 40500
4 × 30375
5 × 24300
6 × 20250
9 × 13500
10 × 12150
12 × 10125
15 × 8100
18 × 6750
20 × 6075
25 × 4860
27 × 4500
30 × 4050
36 × 3375
45 × 2700
50 × 2430
54 × 2250
60 × 2025
75 × 1620
81 × 1500
90 × 1350
100 × 1215
108 × 1125
125 × 972
135 × 900
150 × 810
162 × 750
180 × 675
225 × 540
243 × 500
250 × 486
270 × 450
300 × 405
324 × 375
First multiples
121,500 · 243,000 (double) · 364,500 · 486,000 · 607,500 · 729,000 · 850,500 · 972,000 · 1,093,500 · 1,215,000

Sums & aliquot sequence

As consecutive integers: 40,499 + 40,500 + 40,501 24,298 + 24,299 + 24,300 + 24,301 + 24,302 15,184 + 15,185 + … + 15,191 13,496 + 13,497 + … + 13,504
Aliquot sequence: 121,500 275,988 376,972 292,284 480,852 836,646 977,754 1,000,806 1,106,394 1,236,774 1,848,282 2,176,038 2,748,762 3,428,838 5,510,682 6,429,168 11,563,976 — unresolved within range

Continued fraction of √n

√121,500 = [348; (1, 1, 3, 6, 1, 2, 5, 1, 1, 27, 2, 1, 11, 6, 1, 7, 1, 2, 1, 27, 7, 174, 7, 27, …)]

Period length 44 — the block in parentheses repeats forever.

Representations

In words
one hundred twenty-one thousand five hundred
Ordinal
121500th
Binary
11101101010011100
Octal
355234
Hexadecimal
0x1DA9C
Base64
Adqc
One's complement
4,294,845,795 (32-bit)
Scientific notation
1.215 × 10⁵
As a duration
121,500 s = 1 day, 9 hours, 45 minutes
In other bases
ternary (3) 20011200000
quaternary (4) 131222130
quinary (5) 12342000
senary (6) 2334300
septenary (7) 1014141
nonary (9) 204600
undecimal (11) 83315
duodecimal (12) 5a390
tridecimal (13) 433c2
tetradecimal (14) 323c8
pentadecimal (15) 26000

As an angle

121,500° = 337 × 360° + 180°
180° ≈ 3.142 rad
Compass bearing: S (south)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹 ·
Egyptian hieroglyphic
𓆐𓂍𓂍𓆼𓍢𓍢𓍢𓍢𓍢
Greek (Milesian)
͵ρκαφʹ
Mayan (base 20)
𝋯·𝋣·𝋯·𝋠
Chinese
一十二萬一千五百
Chinese (financial)
壹拾貳萬壹仟伍佰
In other modern scripts
Eastern Arabic ١٢١٥٠٠ Devanagari १२१५०० Bengali ১২১৫০০ Tamil ௧௨௧௫௦௦ Thai ๑๒๑๕๐๐ Tibetan ༡༢༡༥༠༠ Khmer ១២១៥០០ Lao ໑໒໑໕໐໐ Burmese ၁၂၁၅၀၀

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 121500, here are decompositions:

  • 7 + 121493 = 121500
  • 13 + 121487 = 121500
  • 31 + 121469 = 121500
  • 47 + 121453 = 121500
  • 53 + 121447 = 121500
  • 59 + 121441 = 121500
  • 61 + 121439 = 121500
  • 79 + 121421 = 121500

Showing the first eight; more decompositions exist.

Unicode codepoint
𝪜
Signwriting Fill Modifier-3
U+1DA9C
Non-spacing mark (Mn)

UTF-8 encoding: F0 9D AA 9C (4 bytes).

Hex color
#01DA9C
RGB(1, 218, 156)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.1.218.156.

Address
0.1.218.156
Class
reserved
IPv4-mapped IPv6
::ffff:0.1.218.156

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 121,500 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

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