12612964728 has 128 divisors (see below), whose sum is σ = 39024760320. Its totient is φ = 3308014080.

The previous prime is 12612964711. The next prime is 12612964789. The reversal of 12612964728 is 82746921621.

It is a super-2 number, since 2×12612964728² (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 379351 + ... + 411257.

It is an arithmetic number, because the mean of its divisors is an integer number (304880940).

Almost surely, 2^12612964728 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12612964728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19512380160).

12612964728 is an abundant number, since it is smaller than the sum of its proper divisors (26411795592).

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

12612964728 is a wasteful number, since it uses less digits than its factorization.

12612964728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32117 (or 32113 counting only the distinct ones).

The product of its digits is 580608, while the sum is 48.

The spelling of 12612964728 in words is "twelve billion, six hundred twelve million, nine hundred sixty-four thousand, seven hundred twenty-eight".