12072405144 has 128 divisors (see below), whose sum is σ = 31999334400. Its totient is φ = 3789434880.

The previous prime is 12072405133. The next prime is 12072405167. The reversal of 12072405144 is 44150427021.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 11292642 + ... + 11293710.

It is an arithmetic number, because the mean of its divisors is an integer number (249994800).

Almost surely, 2^12072405144 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 12072405144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15999667200).

12072405144 is an abundant number, since it is smaller than the sum of its proper divisors (19926929256).

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

12072405144 is a wasteful number, since it uses less digits than its factorization.

12072405144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1505 (or 1501 counting only the distinct ones).

The product of its (nonzero) digits is 8960, while the sum is 30.

The spelling of 12072405144 in words is "twelve billion, seventy-two million, four hundred five thousand, one hundred forty-four".