12965940624 has 160 divisors (see below), whose sum is σ = 41480233984. Its totient is φ = 3398423040.

The previous prime is 12965940607. The next prime is 12965940641. The reversal of 12965940624 is 42604956921.

It is an interprime number because it is at equal distance from previous prime (12965940607) and next prime (12965940641).

It is a Harshad number since it is a multiple of its sum of digits (48).

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 31 ways as a sum of consecutive naturals, for example, 702879 + ... + 721089.

Almost surely, 2^12965940624 is an apocalyptic number.

12965940624 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 12965940624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20740116992).

12965940624 is an abundant number, since it is smaller than the sum of its proper divisors (28514293360).

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

12965940624 is a wasteful number, since it uses less digits than its factorization.

12965940624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18405 (or 18399 counting only the distinct ones).

The product of its (nonzero) digits is 933120, while the sum is 48.

The spelling of 12965940624 in words is "twelve billion, nine hundred sixty-five million, nine hundred forty thousand, six hundred twenty-four".