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12118320 = 2432516831
BaseRepresentation
bin101110001110…
…100100110000
3211210200012200
4232032210300
511100241240
61111423200
7205001244
oct56164460
924720180
1012118320
116927745
124084b00
132683b06
141876424
1510e5930
hexb8e930

12118320 has 60 divisors (see below), whose sum is σ = 40699776. Its totient is φ = 3231360.

The previous prime is 12118313. The next prime is 12118349. The reversal of 12118320 is 2381121.

It is a tau number, because it is divible by the number of its divisors (60).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 12118293 and 12118302.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 7696 + ... + 9135.

Almost surely, 212118320 is an apocalyptic number.

12118320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12118320 is an abundant number, since it is smaller than the sum of its proper divisors (28581456).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

12118320 is a wasteful number, since it uses less digits than its factorization.

12118320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16850 (or 16841 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

The square root of 12118320 is about 3481.1377450483. The cubic root of 12118320 is about 229.6928477167.

Adding to 12118320 its reverse (2381121), we get a palindrome (14499441).

The spelling of 12118320 in words is "twelve million, one hundred eighteen thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 36 40 45 48 60 72 80 90 120 144 180 240 360 720 16831 33662 50493 67324 84155 100986 134648 151479 168310 201972 252465 269296 302958 336620 403944 504930 605916 673240 757395 807888 1009860 1211832 1346480 1514790 2019720 2423664 3029580 4039440 6059160 12118320