12936962304 has 288 divisors, whose sum is σ = 44275329280. Its totient is φ = 3695155200.

The previous prime is 12936962293. The next prime is 12936962309. The reversal of 12936962304 is 40326963921.

12936962304 is a `hidden beast` number, since 12 + 9 + 3 + 6 + 9 + 623 + 0 + 4 = 666.

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

It is a self number, because there is not a number n which added to its sum of digits gives 12936962304.

It is not an unprimeable number, because it can be changed into a prime (12936962309) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3917454 + ... + 3920754.

Almost surely, 2^12936962304 is an apocalyptic number.

12936962304 is a gapful number since it is divisible by the number (14) 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 12936962304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22137664640).

12936962304 is an abundant number, since it is smaller than the sum of its proper divisors (31338366976).

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

12936962304 is an frugal number, since it uses more digits than its factorization.

12936962304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3345 (or 3313 counting only the distinct ones).

The product of its (nonzero) digits is 419904, while the sum is 45.

The spelling of 12936962304 in words is "twelve billion, nine hundred thirty-six million, nine hundred sixty-two thousand, three hundred four".