12961788032 has 72 divisors (see below), whose sum is σ = 26820733485. Its totient is φ = 6239382016.

The previous prime is 12961788031. The next prime is 12961788079. The reversal of 12961788032 is 23088716921.

It is a happy number.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 2 ways, for example, as 12954081856 + 7706176 = 113816^2 + 2776^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=80504.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (12961788031) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 37353683 + ... + 37354029.

Almost surely, 2^12961788032 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 12961788032

12961788032 is an abundant number, since it is smaller than the sum of its proper divisors (13858945453).

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

12961788032 is an frugal number, since it uses more digits than its factorization.

12961788032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 766 (or 378 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 47.

The spelling of 12961788032 in words is "twelve billion, nine hundred sixty-one million, seven hundred eighty-eight thousand, thirty-two".