12652635120 has 160 divisors (see below), whose sum is σ = 40575498240. Its totient is φ = 3258178560.

The previous prime is 12652635103. The next prime is 12652635139. The reversal of 12652635120 is 2153625621.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4068126 + ... + 4071234.

It is an arithmetic number, because the mean of its divisors is an integer number (253596864).

Almost surely, 2^12652635120 is an apocalyptic number.

12652635120 is a gapful number since it is divisible by the number (10) 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 12652635120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20287749120).

12652635120 is an abundant number, since it is smaller than the sum of its proper divisors (27922863120).

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

12652635120 is a wasteful number, since it uses less digits than its factorization.

12652635120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3703 (or 3697 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 33.

The spelling of 12652635120 in words is "twelve billion, six hundred fifty-two million, six hundred thirty-five thousand, one hundred twenty".