12612503200 has 72 divisors (see below), whose sum is σ = 33589412640. Its totient is φ = 4586361600.

The previous prime is 12612503173. The next prime is 12612503203. The reversal of 12612503200 is 230521621.

12612503200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is not an unprimeable number, because it can be changed into a prime (12612503203) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 707820 + ... + 725419.

It is an arithmetic number, because the mean of its divisors is an integer number (466519620).

Almost surely, 2^12612503200 is an apocalyptic number.

12612503200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12612503200 is an abundant number, since it is smaller than the sum of its proper divisors (20976909440).

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

12612503200 is a wasteful number, since it uses less digits than its factorization.

12612503200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1433270 (or 1433257 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 22.

The spelling of 12612503200 in words is "twelve billion, six hundred twelve million, five hundred three thousand, two hundred".