12556345600 has 54 divisors (see below), whose sum is σ = 31078933130. Its totient is φ = 5022535680.

The previous prime is 12556345597. The next prime is 12556345609. The reversal of 12556345600 is 654365521.

It can be written as a sum of positive squares in 3 ways, for example, as 1160356096 + 11395989504 = 34064^2 + 106752^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 12556345600.

It is not an unprimeable number, because it can be changed into a prime (12556345609) 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 5 ways as a sum of consecutive naturals, for example, 974565 + ... + 987364.

Almost surely, 2^12556345600 is an apocalyptic number.

12556345600 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12556345600 is an abundant number, since it is smaller than the sum of its proper divisors (18522587530).

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

12556345600 is an equidigital number, since it uses as much as digits as its factorization.

12556345600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1961955 (or 1961936 counting only the distinct ones).

The product of its (nonzero) digits is 108000, while the sum is 37.

The spelling of 12556345600 in words is "twelve billion, five hundred fifty-six million, three hundred forty-five thousand, six hundred".