12010407792 has 160 divisors (see below), whose sum is σ = 33926400000. Its totient is φ = 3645886464.

The previous prime is 12010407763. The next prime is 12010407823. The reversal of 12010407792 is 29770401021.

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, 6007209 + ... + 6009207.

It is an arithmetic number, because the mean of its divisors is an integer number (212040000).

Almost surely, 2^12010407792 is an apocalyptic number.

12010407792 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 12010407792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16963200000).

12010407792 is an abundant number, since it is smaller than the sum of its proper divisors (21915992208).

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

12010407792 is a wasteful number, since it uses less digits than its factorization.

12010407792 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2263 (or 2257 counting only the distinct ones).

The product of its (nonzero) digits is 7056, while the sum is 33.

The spelling of 12010407792 in words is "twelve billion, ten million, four hundred seven thousand, seven hundred ninety-two".