12787297920 has 384 divisors, whose sum is σ = 46752638400. Its totient is φ = 3211591680.

The previous prime is 12787297907. The next prime is 12787297927. The reversal of 12787297920 is 2979278721.

It is a happy number.

12787297920 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (384).

It is not an unprimeable number, because it can be changed into a prime (12787297927) 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 47 ways as a sum of consecutive naturals, for example, 36224464 + ... + 36224816.

Almost surely, 2^12787297920 is an apocalyptic number.

12787297920 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 12787297920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23376319200).

12787297920 is an abundant number, since it is smaller than the sum of its proper divisors (33965340480).

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

12787297920 is a wasteful number, since it uses less digits than its factorization.

12787297920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 728 (or 713 counting only the distinct ones).

The product of its (nonzero) digits is 1778112, while the sum is 54.

The spelling of 12787297920 in words is "twelve billion, seven hundred eighty-seven million, two hundred ninety-seven thousand, nine hundred twenty".