12997260672 has 128 divisors (see below), whose sum is σ = 37715846400. Its totient is φ = 3932989440.

The previous prime is 12997260611. The next prime is 12997260697. The reversal of 12997260672 is 27606279921.

It is a tau number, because it is divible by the number of its divisors (128).

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, 3744954 + ... + 3748422.

It is an arithmetic number, because the mean of its divisors is an integer number (294655050).

Almost surely, 2^12997260672 is an apocalyptic number.

12997260672 is a gapful number since it is divisible by the number (12) 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 12997260672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18857923200).

12997260672 is an abundant number, since it is smaller than the sum of its proper divisors (24718585728).

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

12997260672 is a wasteful number, since it uses less digits than its factorization.

12997260672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4384 (or 4372 counting only the distinct ones).

The product of its (nonzero) digits is 1143072, while the sum is 51.

The spelling of 12997260672 in words is "twelve billion, nine hundred ninety-seven million, two hundred sixty thousand, six hundred seventy-two".