number.wiki
Live analysis

121,072

121,072 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.).

121,072 (one hundred twenty-one thousand seventy-two) is an even 6-digit number. It is a composite number with 40 divisors, and factors as 2⁴ × 7 × 23 × 47. Its proper divisors sum to 164,624, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x1D8F0.

Abundant Number Odious Number Practical Number Semiperfect Number

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
13
Digit product
0
Digital root
4
Palindrome
No
Bit width
17 bits
Reversed
270,121
Square (n²)
14,658,429,184
Cube (n³)
1,774,725,338,165,248
Divisor count
40
σ(n) — sum of divisors
285,696
φ(n) — Euler's totient
48,576
Sum of prime factors
85

Primality

Prime factorization: 2 4 × 7 × 23 × 47

Nearest primes: 121,067 (−5) · 121,081 (+9)

Divisors & multiples

All divisors (40)
1 · 2 · 4 · 7 · 8 · 14 · 16 · 23 · 28 · 46 · 47 · 56 · 92 · 94 · 112 · 161 · 184 · 188 · 322 · 329 · 368 · 376 · 644 · 658 · 752 · 1081 · 1288 · 1316 · 2162 · 2576 · 2632 · 4324 · 5264 · 7567 · 8648 · 15134 · 17296 · 30268 · 60536 (half) · 121072
Aliquot sum (sum of proper divisors): 164,624
Factor pairs (a × b = 121,072)
1 × 121072
2 × 60536
4 × 30268
7 × 17296
8 × 15134
14 × 8648
16 × 7567
23 × 5264
28 × 4324
46 × 2632
47 × 2576
56 × 2162
92 × 1316
94 × 1288
112 × 1081
161 × 752
184 × 658
188 × 644
322 × 376
329 × 368
First multiples
121,072 · 242,144 (double) · 363,216 · 484,288 · 605,360 · 726,432 · 847,504 · 968,576 · 1,089,648 · 1,210,720

Sums & aliquot sequence

As consecutive integers: 17,293 + 17,294 + … + 17,299 5,253 + 5,254 + … + 5,275 3,768 + 3,769 + … + 3,799 2,553 + 2,554 + … + 2,599
Aliquot sequence: 121,072 164,624 154,366 80,354 40,180 60,368 88,432 82,936 94,904 83,056 84,344 86,176 83,546 45,274 22,640 30,184 41,816 — unresolved within range

Continued fraction of √n

√121,072 = [347; (1, 20, 1, 2, 1, 42, 1, 2, 1, 20, 1, 694)]

Period length 12 — the block in parentheses repeats forever.

Representations

In words
one hundred twenty-one thousand seventy-two
Ordinal
121072nd
Binary
11101100011110000
Octal
354360
Hexadecimal
0x1D8F0
Base64
Adjw
One's complement
4,294,846,223 (32-bit)
Scientific notation
1.21072 × 10⁵
As a duration
121,072 s = 1 day, 9 hours, 37 minutes, 52 seconds
In other bases
ternary (3) 20011002011
quaternary (4) 131203300
quinary (5) 12333242
senary (6) 2332304
septenary (7) 1012660
nonary (9) 204064
undecimal (11) 82a66
duodecimal (12) 5a094
tridecimal (13) 43153
tetradecimal (14) 321a0
pentadecimal (15) 25d17

As an angle

121,072° = 336 × 360° + 112°
112° ≈ 1.955 rad
Compass bearing: ESE (east-southeast)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒌋𒁹𒁹
Egyptian hieroglyphic
𓆐𓂍𓂍𓆼𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺
Greek (Milesian)
͵ρκαοβʹ
Mayan (base 20)
𝋯·𝋢·𝋭·𝋬
Chinese
一十二萬一千零七十二
Chinese (financial)
壹拾貳萬壹仟零柒拾貳
In other modern scripts
Eastern Arabic ١٢١٠٧٢ Devanagari १२१०७२ Bengali ১২১০৭২ Tamil ௧௨௧௦௭௨ Thai ๑๒๑๐๗๒ Tibetan ༡༢༡༠༧༢ Khmer ១២១០៧២ Lao ໑໒໑໐໗໒ Burmese ၁၂၁၀၇၂

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 121072, here are decompositions:

  • 5 + 121067 = 121072
  • 11 + 121061 = 121072
  • 53 + 121019 = 121072
  • 59 + 121013 = 121072
  • 71 + 121001 = 121072
  • 131 + 120941 = 121072
  • 173 + 120899 = 121072
  • 239 + 120833 = 121072

Showing the first eight; more decompositions exist.

Unicode codepoint
𝣰
Signwriting Hand-Hinge Index Thumb
U+1D8F0
Other symbol (So)

UTF-8 encoding: F0 9D A3 B0 (4 bytes).

Hex color
#01D8F0
RGB(1, 216, 240)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.1.216.240.

Address
0.1.216.240
Class
reserved
IPv4-mapped IPv6
::ffff:0.1.216.240

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 121,072 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 121072 first appears in π at position 698,048 of the decimal expansion (the 698,048ordinal-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