12971264480 has 96 divisors (see below), whose sum is σ = 31222376640. Its totient is φ = 5091102720.

The previous prime is 12971264477. The next prime is 12971264491. The reversal of 12971264480 is 8446217921.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4751756 + ... + 4754484.

It is an arithmetic number, because the mean of its divisors is an integer number (325233090).

Almost surely, 2^12971264480 is an apocalyptic number.

12971264480 is a gapful number since it is divisible by the number (10) 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 12971264480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15611188320).

12971264480 is an abundant number, since it is smaller than the sum of its proper divisors (18251112160).

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

12971264480 is a wasteful number, since it uses less digits than its factorization.

12971264480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3292 (or 3284 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 44.

The spelling of 12971264480 in words is "twelve billion, nine hundred seventy-one million, two hundred sixty-four thousand, four hundred eighty".