12632845600 has 72 divisors (see below), whose sum is σ = 30866149440. Its totient is φ = 5048843520.

The previous prime is 12632845591. The next prime is 12632845607. The reversal of 12632845600 is 654823621.

It is a self number, because there is not a number n which added to its sum of digits gives 12632845600.

It is not an unprimeable number, because it can be changed into a prime (12632845607) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1036341 + ... + 1048459.

It is an arithmetic number, because the mean of its divisors is an integer number (428696520).

Almost surely, 2^12632845600 is an apocalyptic number.

12632845600 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 12632845600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15433074720).

12632845600 is an abundant number, since it is smaller than the sum of its proper divisors (18233303840).

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

12632845600 is a wasteful number, since it uses less digits than its factorization.

12632845600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13442 (or 13429 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 37.

The spelling of 12632845600 in words is "twelve billion, six hundred thirty-two million, eight hundred forty-five thousand, six hundred".