12972096738 has 144 divisors (see below), whose sum is σ = 31404312576. Its totient is φ = 3855962880.

The previous prime is 12972096737. The next prime is 12972096751. The reversal of 12972096738 is 83769027921.

It is not an unprimeable number, because it can be changed into a prime (12972096737) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 20557683 + ... + 20558313.

It is an arithmetic number, because the mean of its divisors is an integer number (218085504).

Almost surely, 2^12972096738 is an apocalyptic number.

12972096738 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 12972096738, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15702156288).

12972096738 is an abundant number, since it is smaller than the sum of its proper divisors (18432215838).

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

12972096738 is a wasteful number, since it uses less digits than its factorization.

12972096738 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 829 (or 803 counting only the distinct ones).

The product of its (nonzero) digits is 2286144, while the sum is 54.

The spelling of 12972096738 in words is "twelve billion, nine hundred seventy-two million, ninety-six thousand, seven hundred thirty-eight".