12520734800 has 150 divisors (see below), whose sum is σ = 35095179918. Its totient is φ = 4292494080.

The previous prime is 12520734763. The next prime is 12520734803. The reversal of 12520734800 is 843702521.

It can be written as a sum of positive squares in 3 ways, for example, as 1401454096 + 11119280704 = 37436^2 + 105448^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12520734803) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 953882 + ... + 966918.

Almost surely, 2^12520734800 is an apocalyptic number.

12520734800 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 12520734800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17547589959).

12520734800 is an abundant number, since it is smaller than the sum of its proper divisors (22574445118).

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

12520734800 is an equidigital number, since it uses as much as digits as its factorization.

12520734800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13083 (or 13051 counting only the distinct ones).

The product of its (nonzero) digits is 13440, while the sum is 32.

The spelling of 12520734800 in words is "twelve billion, five hundred twenty million, seven hundred thirty-four thousand, eight hundred".