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12188107932 = 223711133171461
BaseRepresentation
bin10110101100111011…
…11100010010011100
31011110102002000220220
423112131330102130
5144430123423212
65333225241340
7611014131240
oct132635742234
934412060826
1012188107932
115194961980
122441933250
1311c3116cb0
148389c6420
154b502b38c
hex2d677c49c

12188107932 has 384 divisors, whose sum is σ = 40057307136. Its totient is φ = 2782080000.

The previous prime is 12188107927. The next prime is 12188107961. The reversal of 12188107932 is 23970188121.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 26438182 + ... + 26438642.

It is an arithmetic number, because the mean of its divisors is an integer number (104315904).

Almost surely, 212188107932 is an apocalyptic number.

12188107932 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12188107932, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20028653568).

12188107932 is an abundant number, since it is smaller than the sum of its proper divisors (27869199204).

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

12188107932 is a wasteful number, since it uses less digits than its factorization.

12188107932 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 601 (or 599 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 42.

The spelling of 12188107932 in words is "twelve billion, one hundred eighty-eight million, one hundred seven thousand, nine hundred thirty-two".