12730964928 has 224 divisors, whose sum is σ = 38110046208. Its totient is φ = 3715891200.

The previous prime is 12730964927. The next prime is 12730964929. The reversal of 12730964928 is 82946903721.

It is an interprime number because it is at equal distance from previous prime (12730964927) and next prime (12730964929).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12730964927) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 22063776 + ... + 22064352.

Almost surely, 2^12730964928 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 12730964928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19055023104).

12730964928 is an abundant number, since it is smaller than the sum of its proper divisors (25379081280).

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

12730964928 is a wasteful number, since it uses less digits than its factorization.

12730964928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 971 (or 961 counting only the distinct ones).

The product of its (nonzero) digits is 1306368, while the sum is 51.

The spelling of 12730964928 in words is "twelve billion, seven hundred thirty million, nine hundred sixty-four thousand, nine hundred twenty-eight".