12960387072 has 104 divisors (see below), whose sum is σ = 38396786880. Its totient is φ = 4320092160.

The previous prime is 12960387067. The next prime is 12960387109. The reversal of 12960387072 is 27078306921.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 51997 + ... + 169187.

Almost surely, 2^12960387072 is an apocalyptic number.

12960387072 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 12960387072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19198393440).

12960387072 is an abundant number, since it is smaller than the sum of its proper divisors (25436399808).

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

12960387072 is an equidigital number, since it uses as much as digits as its factorization.

12960387072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 117224 (or 117196 counting only the distinct ones).

The product of its (nonzero) digits is 254016, while the sum is 45.

The spelling of 12960387072 in words is "twelve billion, nine hundred sixty million, three hundred eighty-seven thousand, seventy-two".