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12288318912 = 263221333887
BaseRepresentation
bin10110111000111000…
…01101110111000000
31011201101122021112200
423130130031313000
5200131302201122
65351205153200
7613341662442
oct133434156700
934641567480
1012288318912
115236487971
12246b3bb800
13120ab0282c
14848030492
154bdc235ac
hex2dc70ddc0

12288318912 has 42 divisors (see below), whose sum is σ = 35222249088. Its totient is φ = 4096106112.

The previous prime is 12288318907. The next prime is 12288318919. The reversal of 12288318912 is 21981388221.

12288318912 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12288318919) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 10666368 + ... + 10667519.

Almost surely, 212288318912 is an apocalyptic number.

12288318912 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

12288318912 is an abundant number, since it is smaller than the sum of its proper divisors (22933930176).

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

12288318912 is a wasteful number, since it uses less digits than its factorization.

12288318912 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21333905 (or 21333892 counting only the distinct ones).

The product of its digits is 110592, while the sum is 45.

The spelling of 12288318912 in words is "twelve billion, two hundred eighty-eight million, three hundred eighteen thousand, nine hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 144 192 288 576 21333887 42667774 64001661 85335548 128003322 170671096 192004983 256006644 341342192 384009966 512013288 682684384 768019932 1024026576 1365368768 1536039864 2048053152 3072079728 4096106304 6144159456 12288318912