12107511936 has 288 divisors, whose sum is σ = 38996930700. Its totient is φ = 3722029056.

The previous prime is 12107511907. The next prime is 12107511943. The reversal of 12107511936 is 63911570121.

It is a happy number.

12107511936 is a `hidden beast` number, since 1 + 2 + 107 + 511 + 9 + 36 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 9073705536 + 3033806400 = 95256^2 + 55080^2 .

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 12107511936.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 10916950 + ... + 10918058.

Almost surely, 2^12107511936 is an apocalyptic number.

12107511936 is a gapful number since it is divisible by the number (16) 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 12107511936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19498465350).

12107511936 is an abundant number, since it is smaller than the sum of its proper divisors (26889418764).

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

12107511936 is an frugal number, since it uses more digits than its factorization.

12107511936 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1160 (or 1127 counting only the distinct ones).

The product of its (nonzero) digits is 11340, while the sum is 36.

The spelling of 12107511936 in words is "twelve billion, one hundred seven million, five hundred eleven thousand, nine hundred thirty-six".