12987792 has 120 divisors (see below), whose sum is σ = 39461760. Its totient is φ = 3974400.

The previous prime is 12987781. The next prime is 12987797. The reversal of 12987792 is 29778921.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12987797) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 128542 + ... + 128642.

It is an arithmetic number, because the mean of its divisors is an integer number (328848).

Almost surely, 2^12987792 is an apocalyptic number.

12987792 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 12987792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19730880).

12987792 is an abundant number, since it is smaller than the sum of its proper divisors (26473968).

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

12987792 is a wasteful number, since it uses less digits than its factorization.

12987792 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 181 (or 172 counting only the distinct ones).

The product of its digits is 127008, while the sum is 45.

The square root of 12987792 is about 3603.8579328270. The cubic root of 12987792 is about 235.0598429157.

The spelling of 12987792 in words is "twelve million, nine hundred eighty-seven thousand, seven hundred ninety-two".