12532812800 has 132 divisors (see below), whose sum is σ = 31464518880. Its totient is φ = 4948869120.

The previous prime is 12532812763. The next prime is 12532812821. The reversal of 12532812800 is 821823521.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2019302 + ... + 2025498.

Almost surely, 2^12532812800 is an apocalyptic number.

12532812800 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 12532812800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15732259440).

12532812800 is an abundant number, since it is smaller than the sum of its proper divisors (18931706080).

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

12532812800 is an equidigital number, since it uses as much as digits as its factorization.

12532812800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6306 (or 6283 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 32.

The spelling of 12532812800 in words is "twelve billion, five hundred thirty-two million, eight hundred twelve thousand, eight hundred".