12072434624 has 112 divisors (see below), whose sum is σ = 25808025600. Its totient is φ = 5585817600.

The previous prime is 12072434623. The next prime is 12072434639. The reversal of 12072434624 is 42643427021.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12072434623) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 13702664 + ... + 13703544.

It is an arithmetic number, because the mean of its divisors is an integer number (230428800).

Almost surely, 2^12072434624 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 12072434624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12904012800).

12072434624 is an abundant number, since it is smaller than the sum of its proper divisors (13735590976).

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

12072434624 is a wasteful number, since it uses less digits than its factorization.

12072434624 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1162 (or 1152 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 35.

The spelling of 12072434624 in words is "twelve billion, seventy-two million, four hundred thirty-four thousand, six hundred twenty-four".