Live analysis

122,016

122,016 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.).

122,016 (one hundred twenty-two thousand sixteen) is an even 6-digit number. It is a composite number with 48 divisors, and factors as 2⁵ × 3 × 31 × 41. Its proper divisors sum to 216,672, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x1DCA0.

Abundant Number Arithmetic Number Evil Number Gapful Number Harshad / Niven Practical Number Refactorable Number Semiperfect Number

Interestingness

★ ★ ★ ★ ☆

6 notable facts · grade B

122,004 122,005 122,006 122,007 122,008 122,009 122,010 122,011 122,012 122,013 122,014 122,015 122,016 122,017 122,018 122,019 122,020 122,021 122,022 122,023 122,024 122,025 122,026 122,027 122,028

less more

Properties

Parity: Even
Digit count: 6
Digit sum: 12
Digit product: 0
Digital root: 3
Palindrome: No
Bit width: 17 bits
Reversed: 610,221
Square (n²): 14,887,904,256
Cube (n³): 1,816,562,525,700,096
Divisor count: 48
σ(n) — sum of divisors: 338,688
φ(n) — Euler's totient: 38,400
Sum of prime factors: 85

Primality

Prime factorization: 2 ⁵ × 3 × 31 × 41

Nearest primes: 122,011 (−5) · 122,021 (+5)

Divisors & multiples

All divisors (48)

1 · 2 · 3 · 4 · 6 · 8 · 12 · 16 · 24 · 31 · 32 · 41 · 48 · 62 · 82 · 93 · 96 · 123 · 124 · 164 · 186 · 246 · 248 · 328 · 372 · 492 · 496 · 656 · 744 · 984 · 992 · 1271 · 1312 · 1488 · 1968 · 2542 · 2976 · 3813 · 3936 · 5084 · 7626 · 10168 · 15252 · 20336 · 30504 · 40672 · 61008 (half) · 122016

Aliquot sum (sum of proper divisors): 216,672

Factor pairs (a × b = 122,016)

1 × 122016

2 × 61008

3 × 40672

4 × 30504

6 × 20336

8 × 15252

12 × 10168

16 × 7626

24 × 5084

31 × 3936

32 × 3813

41 × 2976

48 × 2542

62 × 1968

82 × 1488

93 × 1312

96 × 1271

123 × 992

124 × 984

164 × 744

186 × 656

246 × 496

248 × 492

328 × 372

First multiples

122,016 · 244,032 (double) · 366,048 · 488,064 · 610,080 · 732,096 · 854,112 · 976,128 · 1,098,144 · 1,220,160

Sums & aliquot sequence

As consecutive integers: 40,671 + 40,672 + 40,673 3,921 + 3,922 + … + 3,951 2,956 + 2,957 + … + 2,996 1,875 + 1,876 + … + 1,938

Aliquot sequence: 122,016 → 216,672 → 377,040 → 792,528 → 1,588,272 → 3,292,368 → 5,302,320 → 11,135,616 → 19,121,664 → 32,928,576 → 59,242,944 → 99,169,744 → 107,817,008 → 134,834,128 → 182,145,584 → 182,146,576 → 182,147,568 — unresolved within range

Continued fraction of √n

√122,016 = [349; (3, 4, 30, 6, 1, 20, 3, 4, 1, 27, 7, 1, 1, 3, 1, 4, 1, 173, 1, 4, 1, 3, 1, 1, …)]

Period length 36 — the block in parentheses repeats forever.

Representations

In words: one hundred twenty-two thousand sixteen
Ordinal: 122016th
Binary: 11101110010100000
Octal: 356240
Hexadecimal: 0x1DCA0
Base64: Adyg
One's complement: 4,294,845,279 (32-bit)
Scientific notation: 1.22016 × 10⁵
As a duration: 122,016 s = 1 day, 9 hours, 53 minutes, 36 seconds

In other bases

ternary (3) 20012101010

quaternary (4) 131302200

quinary (5) 12401031

senary (6) 2340520

septenary (7) 1015506

nonary (9) 205333

undecimal (11) 83744

duodecimal (12) 5a740

tridecimal (13) 436cb

tetradecimal (14) 32676

pentadecimal (15) 26246

As an angle

122,016° = 338 × 360° + 336°

336° ≈ 5.864 rad

Compass bearing: NNW (north-northwest)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒌋𒌋𒌋𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒌋𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic: 𓆐𓂍𓂍𓆼𓆼𓎆𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian): ͵ρκβιϛʹ
Mayan (base 20): 𝋯·𝋥·𝋠·𝋰
Chinese: 一十二萬二千零一十六
Chinese (financial): 壹拾貳萬貳仟零壹拾陸

In other modern scripts

Eastern Arabic ١٢٢٠١٦ Devanagari १२२०१६ Bengali ১২২০১৬ Tamil ௧௨௨௦௧௬ Thai ๑๒๒๐๑๖ Tibetan ༡༢༢༠༡༦ Khmer ១២២០១៦ Lao ໑໒໒໐໑໖ Burmese ၁၂၂၀၁၆

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 122016, here are decompositions:

5 + 122011 = 122016
19 + 121997 = 122016
23 + 121993 = 122016
53 + 121963 = 122016
67 + 121949 = 122016
79 + 121937 = 122016
107 + 121909 = 122016
127 + 121889 = 122016

Showing the first eight; more decompositions exist.

Hex color

#01DCA0

RGB(1, 220, 160)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.1.220.160.

Address: 0.1.220.160
Class: reserved
IPv4-mapped IPv6: ::ffff:0.1.220.160

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 122,016 and was likely granted around 1871.

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

Look up US122,016 on Google Patents ↗ Look up on USPTO ↗