12936427920 has 320 divisors, whose sum is σ = 48281909760. Its totient is φ = 3164755968.

The previous prime is 12936427879. The next prime is 12936427927. The reversal of 12936427920 is 2972463921.

12936427920 is a `hidden beast` number, since 12 + 9 + 364 + 279 + 2 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (12936427927) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4856509 + ... + 4859171.

It is an arithmetic number, because the mean of its divisors is an integer number (150880968).

Almost surely, 2^12936427920 is an apocalyptic number.

12936427920 is a gapful number since it is divisible by the number (10) 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 12936427920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24140954880).

12936427920 is an abundant number, since it is smaller than the sum of its proper divisors (35345481840).

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

12936427920 is a wasteful number, since it uses less digits than its factorization.

12936427920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2871 (or 2859 counting only the distinct ones).

The product of its (nonzero) digits is 326592, while the sum is 45.

The spelling of 12936427920 in words is "twelve billion, nine hundred thirty-six million, four hundred twenty-seven thousand, nine hundred twenty".