Number

120

120 is a composite number, even, a calendar year.

Abundant Number Evil Number Factorial Gapful Number Harshad / Niven Hexagonal Practical Number Recamán's Sequence Semiperfect Number Tetrahedral Triangular Year

Historical context — 120 AD

Calendar year

Year 120 (CXX) was a leap year starting on Sunday of the Julian calendar.

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Historical context — 120 BC

Calendar year

Year 120 BC was a year of the pre-Julian Roman calendar.

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Year facts

Year type: Leap year
Divisible by 4 and not by 100; February has 29 days.
Days in year: 366
ISO weeks: 52
Started on: Monday
January 1, 120
Ended on: Tuesday
December 31, 120
Friday the 13ths: 2
2 Friday the 13ths this year.
Decade: 120s
120–129
Century: 2nd century
101–200
Millennium: 1st millennium
1–1000
Years ago: 1,906
1906 years before 2026.

In other calendars

Hebrew: 3880 / 3881 AM
Rosh Hashanah falls in September/October.
Chinese: Year of the zodiac:Metal zodiac:Monkey
Sexagenary cycle position 57 of 60. Lunar new year falls in late January / mid-February.
Buddhist Era: 663 BE
Counted from the parinirvana of the Buddha (Theravada / Thai / Sri Lankan convention).
Ethiopian: 112 / 113 ET
Year boundary at Enkutatash (September 11/12).
Indian National (Saka): 42 / 41 Saka
Indian national calendar; year starts in March.

Properties

Parity: Even
Digit count: 3
Digit sum: 3
Digit product: 0
Digital root: 3
Palindrome: No
Bit width: 7 bits
Reversed: 21
Recamán's sequence: a(160) = 120
Square (n²): 14,400
Cube (n³): 1,728,000
Divisor count: 16
σ(n) — sum of divisors: 360
φ(n) — Euler's totient: 32
Sum of prime factors: 14

Primality

Prime factorization: 2 ³ × 3 × 5

Nearest primes: 113 (−7) · 127 (+7)

Divisors & multiples

All divisors (16)

1 · 2 · 3 · 4 · 5 · 6 · 8 · 10 · 12 · 15 · 20 · 24 · 30 · 40 · 60 (half) · 120

Aliquot sum (sum of proper divisors): 240

Factor pairs (a × b = 120)

1 × 120

2 × 60

3 × 40

4 × 30

5 × 24

6 × 20

8 × 15

10 × 12

First multiples

120 · 240 (double) · 360 · 480 · 600 · 720 · 840 · 960 · 1,080 · 1,200

Sums & aliquot sequence

As consecutive integers: 39 + 40 + 41 22 + 23 + 24 + 25 + 26 1 + 2 + … + 15

Aliquot sequence: 120 → 240 → 504 → 1,056 → 1,968 → 3,240 → 7,650 → 14,112 → 32,571 → 27,333 → 12,161 → 1 → 0 — terminates at zero

Representations

In words: one hundred twenty
Ordinal: 120th
Roman numeral: CXX
Binary: 1111000
Octal: 170
Hexadecimal: 0x78
Base64: eA==
One's complement: 135 (8-bit)

In other bases

ternary (3) 11110

quaternary (4) 1320

quinary (5) 440

senary (6) 320

septenary (7) 231

nonary (9) 143

undecimal (11) aa

duodecimal (12) a0

tridecimal (13) 93

tetradecimal (14) 88

pentadecimal (15) 80

Historical numeral systems

Babylonian (base 60): 𒁹𒁹 ·
Egyptian hieroglyphic: 𓍢𓎆𓎆
Greek (Milesian): ρκʹ
Mayan (base 20): 𝋦·𝋠
Chinese: 一百二十
Chinese (financial): 壹佰貳拾

In other modern scripts

Eastern Arabic ١٢٠ Devanagari १२० Bengali ১২০ Tamil ௧௨௦ Thai ๑๒๐ Tibetan ༡༢༠ Khmer ១២០ Lao ໑໒໐ Burmese ၁၂၀

Digit at this position in famous constants

π — Pi (π): Digit 120 = 4
e — Euler's number (e): Digit 120 = 2
φ — Golden ratio (φ): Digit 120 = 5
√2 — Pythagoras's (√2): Digit 120 = 2
ln 2 — Natural log of 2: Digit 120 = 3
γ — Euler-Mascheroni (γ): Digit 120 = 8

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 120, here are decompositions:

7 + 113 = 120
11 + 109 = 120
13 + 107 = 120
17 + 103 = 120
19 + 101 = 120
23 + 97 = 120
31 + 89 = 120
37 + 83 = 120

Showing the first eight; more decompositions exist.

ASCII character

As an ASCII codepoint, 120 is x. Printable ASCII character x.

Hex color

#000078

RGB(0, 0, 120)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.0.120.

Address: 0.0.0.120
Class: reserved
IPv4-mapped IPv6: ::ffff:0.0.0.120

Unspecified address (0.0.0.0/8) — "this network" placeholder.