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121,128

121,128 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.).

121,128 (one hundred twenty-one thousand one hundred twenty-eight) is an even 6-digit number. It is a composite number with 48 divisors, and factors as 2³ × 3 × 7² × 103. Its proper divisors sum to 234,552, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x1D928.

Abundant Number Arithmetic Number Evil Number Practical Number Semiperfect Number

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
15
Digit product
32
Digital root
6
Palindrome
No
Bit width
17 bits
Reversed
821,121
Square (n²)
14,671,992,384
Cube (n³)
1,777,189,093,489,152
Divisor count
48
σ(n) — sum of divisors
355,680
φ(n) — Euler's totient
34,272
Sum of prime factors
126

Primality

Prime factorization: 2 3 × 3 × 7 2 × 103

Nearest primes: 121,123 (−5) · 121,139 (+11)

Divisors & multiples

All divisors (48)
1 · 2 · 3 · 4 · 6 · 7 · 8 · 12 · 14 · 21 · 24 · 28 · 42 · 49 · 56 · 84 · 98 · 103 · 147 · 168 · 196 · 206 · 294 · 309 · 392 · 412 · 588 · 618 · 721 · 824 · 1176 · 1236 · 1442 · 2163 · 2472 · 2884 · 4326 · 5047 · 5768 · 8652 · 10094 · 15141 · 17304 · 20188 · 30282 · 40376 · 60564 (half) · 121128
Aliquot sum (sum of proper divisors): 234,552
Factor pairs (a × b = 121,128)
1 × 121128
2 × 60564
3 × 40376
4 × 30282
6 × 20188
7 × 17304
8 × 15141
12 × 10094
14 × 8652
21 × 5768
24 × 5047
28 × 4326
42 × 2884
49 × 2472
56 × 2163
84 × 1442
98 × 1236
103 × 1176
147 × 824
168 × 721
196 × 618
206 × 588
294 × 412
309 × 392
First multiples
121,128 · 242,256 (double) · 363,384 · 484,512 · 605,640 · 726,768 · 847,896 · 969,024 · 1,090,152 · 1,211,280

Sums & aliquot sequence

As consecutive integers: 40,375 + 40,376 + 40,377 17,301 + 17,302 + … + 17,307 7,563 + 7,564 + … + 7,578 5,758 + 5,759 + … + 5,778
Aliquot sequence: 121,128 234,552 373,848 588,312 1,005,228 1,899,492 3,166,044 5,276,964 10,076,892 16,795,044 32,595,570 67,444,110 121,887,090 237,424,590 430,538,706 621,813,294 765,125,586 — unresolved within range

Continued fraction of √n

√121,128 = [348; (29, 696)]

Period length 2 — the block in parentheses repeats forever.

Representations

In words
one hundred twenty-one thousand one hundred twenty-eight
Ordinal
121128th
Binary
11101100100101000
Octal
354450
Hexadecimal
0x1D928
Base64
Adko
One's complement
4,294,846,167 (32-bit)
Scientific notation
1.21128 × 10⁵
As a duration
121,128 s = 1 day, 9 hours, 38 minutes, 48 seconds
In other bases
ternary (3) 20011011020
quaternary (4) 131210220
quinary (5) 12334003
senary (6) 2332440
septenary (7) 1013100
nonary (9) 204136
undecimal (11) 83007
duodecimal (12) 5a120
tridecimal (13) 43197
tetradecimal (14) 32200
pentadecimal (15) 25d53

As an angle

121,128° = 336 × 360° + 168°
168° ≈ 2.932 rad
Compass bearing: SSE (south-southeast)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓂍𓂍𓆼𓍢𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian)
͵ρκαρκηʹ
Mayan (base 20)
𝋯·𝋢·𝋰·𝋨
Chinese
一十二萬一千一百二十八
Chinese (financial)
壹拾貳萬壹仟壹佰貳拾捌
In other modern scripts
Eastern Arabic ١٢١١٢٨ Devanagari १२११२८ Bengali ১২১১২৮ Tamil ௧௨௧௧௨௮ Thai ๑๒๑๑๒๘ Tibetan ༡༢༡༡༢༨ Khmer ១២១១២៨ Lao ໑໒໑໑໒໘ Burmese ၁၂၁၁၂၈

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 121128, here are decompositions:

  • 5 + 121123 = 121128
  • 47 + 121081 = 121128
  • 61 + 121067 = 121128
  • 67 + 121061 = 121128
  • 89 + 121039 = 121128
  • 107 + 121021 = 121128
  • 109 + 121019 = 121128
  • 127 + 121001 = 121128

Showing the first eight; more decompositions exist.

Unicode codepoint
𝤨
Signwriting Movement-Wallplane Finger Contact
U+1D928
Other symbol (So)

UTF-8 encoding: F0 9D A4 A8 (4 bytes).

Hex color
#01D928
RGB(1, 217, 40)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.1.217.40.

Address
0.1.217.40
Class
reserved
IPv4-mapped IPv6
::ffff:0.1.217.40

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 121,128 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 121128 first appears in π at position 636,424 of the decimal expansion (the 636,424ordinal-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°.