12965921424 has 75 divisors (see below), whose sum is σ = 37539006483. Its totient is φ = 4320607392.

The previous prime is 12965921417. The next prime is 12965921447. The reversal of 12965921424 is 42412956921.

The square root of 12965921424 is 113868.

It is a perfect power (a square), and thus also a powerful number.

12965921424 is a `hidden beast` number, since 1 + 29 + 6 + 592 + 14 + 24 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 12965921424.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 4097667 + ... + 4100829.

Almost surely, 2^12965921424 is an apocalyptic number.

12965921424 is the 113868-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12965921424

12965921424 is an abundant number, since it is smaller than the sum of its proper divisors (24573085059).

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

12965921424 is an frugal number, since it uses more digits than its factorization.

12965921424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6346 (or 3168 counting only the distinct ones).

The product of its digits is 311040, while the sum is 45.

The spelling of 12965921424 in words is "twelve billion, nine hundred sixty-five million, nine hundred twenty-one thousand, four hundred twenty-four".