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126,120

126,120 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.).

126,120 (one hundred twenty-six thousand one hundred twenty) is an even 6-digit number. It is a composite number with 32 divisors, and factors as 2³ × 3 × 5 × 1,051. Its proper divisors sum to 252,600, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x1ECA8.

Abundant Number Arithmetic Number Gapful Number Harshad / Niven Odious Number Recamán's Sequence Semiperfect Number

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
12
Digit product
0
Digital root
3
Palindrome
No
Bit width
17 bits
Reversed
21,621
Recamán's sequence
a(233,924) = 126,120
Square (n²)
15,906,254,400
Cube (n³)
2,006,096,804,928,000
Divisor count
32
σ(n) — sum of divisors
378,720
φ(n) — Euler's totient
33,600
Sum of prime factors
1,065

Primality

Prime factorization: 2 3 × 3 × 5 × 1051

Nearest primes: 126,107 (−13) · 126,127 (+7)

Divisors & multiples

All divisors (32)
1 · 2 · 3 · 4 · 5 · 6 · 8 · 10 · 12 · 15 · 20 · 24 · 30 · 40 · 60 · 120 · 1051 · 2102 · 3153 · 4204 · 5255 · 6306 · 8408 · 10510 · 12612 · 15765 · 21020 · 25224 · 31530 · 42040 · 63060 (half) · 126120
Aliquot sum (sum of proper divisors): 252,600
Factor pairs (a × b = 126,120)
1 × 126120
2 × 63060
3 × 42040
4 × 31530
5 × 25224
6 × 21020
8 × 15765
10 × 12612
12 × 10510
15 × 8408
20 × 6306
24 × 5255
30 × 4204
40 × 3153
60 × 2102
120 × 1051
First multiples
126,120 · 252,240 (double) · 378,360 · 504,480 · 630,600 · 756,720 · 882,840 · 1,008,960 · 1,135,080 · 1,261,200

Sums & aliquot sequence

As consecutive integers: 42,039 + 42,040 + 42,041 25,222 + 25,223 + 25,224 + 25,225 + 25,226 8,401 + 8,402 + … + 8,415 7,875 + 7,876 + … + 7,890
Aliquot sequence: 126,120 252,600 532,320 1,146,000 2,568,048 5,014,800 14,974,000 21,237,968 19,910,626 9,955,316 11,004,364 11,004,420 26,916,540 63,776,580 140,309,820 362,767,524 604,612,764 — unresolved within range

Continued fraction of √n

√126,120 = [355; (7, 2, 9, 1, 1, 6, 4, 5, 1, 1, 1, 2, 3, 2, 1, 13, 1, 3, 1, 28, 1, 3, 1, 13, …)]

Period length 40 — the block in parentheses repeats forever.

Representations

In words
one hundred twenty-six thousand one hundred twenty
Ordinal
126120th
Binary
11110110010101000
Octal
366250
Hexadecimal
0x1ECA8
Base64
Aeyo
One's complement
4,294,841,175 (32-bit)
Scientific notation
1.2612 × 10⁵
As a duration
126,120 s = 1 day, 11 hours, 2 minutes
In other bases
ternary (3) 20102000010
quaternary (4) 132302220
quinary (5) 13013440
senary (6) 2411520
septenary (7) 1033461
nonary (9) 212003
undecimal (11) 86835
duodecimal (12) 60ba0
tridecimal (13) 45537
tetradecimal (14) 33d68
pentadecimal (15) 27580

As an angle

126,120° = 350 × 360° + 120°
120° ≈ 2.094 rad
Compass bearing: ESE (east-southeast)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹 𒁹𒁹 ·
Egyptian hieroglyphic
𓆐𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓎆𓎆
Greek (Milesian)
͵ρκϛρκʹ
Mayan (base 20)
𝋯·𝋯·𝋦·𝋠
Chinese
一十二萬六千一百二十
Chinese (financial)
壹拾貳萬陸仟壹佰貳拾
In other modern scripts
Eastern Arabic ١٢٦١٢٠ Devanagari १२६१२० Bengali ১২৬১২০ Tamil ௧௨௬௧௨௦ Thai ๑๒๖๑๒๐ Tibetan ༡༢༦༡༢༠ Khmer ១២៦១២០ Lao ໑໒໖໑໒໐ Burmese ၁၂၆၁၂၀

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 126120, here are decompositions:

  • 13 + 126107 = 126120
  • 23 + 126097 = 126120
  • 41 + 126079 = 126120
  • 53 + 126067 = 126120
  • 73 + 126047 = 126120
  • 79 + 126041 = 126120
  • 83 + 126037 = 126120
  • 89 + 126031 = 126120

Showing the first eight; more decompositions exist.

Unicode codepoint
𞲨
Indic Siyaq Number Prefixed Six
U+1ECA8
Other number (No)

UTF-8 encoding: F0 9E B2 A8 (4 bytes).

Hex color
#01ECA8
RGB(1, 236, 168)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.1.236.168.

Address
0.1.236.168
Class
reserved
IPv4-mapped IPv6
::ffff:0.1.236.168

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 126,120 and was likely granted around 1872.

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

Position in π

The digit sequence 126120 first appears in π at position 553,903 of the decimal expansion (the 553,903ordinal-suffix:rd 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°.