12544312400 has 60 divisors (see below), whose sum is σ = 30188435004. Its totient is φ = 5009280000.

The previous prime is 12544312349. The next prime is 12544312439. The reversal of 12544312400 is 421344521.

It can be written as a sum of positive squares in 6 ways, for example, as 441672256 + 12102640144 = 21016^2 + 110012^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 12544312400.

It is a congruent number.

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, 214310 + ... + 266490.

Almost surely, 2^12544312400 is an apocalyptic number.

12544312400 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 12544312400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15094217502).

12544312400 is an abundant number, since it is smaller than the sum of its proper divisors (17644122604).

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

12544312400 is a wasteful number, since it uses less digits than its factorization.

12544312400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 52800 (or 52789 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 26.

Adding to 12544312400 its reverse (421344521), we get a palindrome (12965656921).

The spelling of 12544312400 in words is "twelve billion, five hundred forty-four million, three hundred twelve thousand, four hundred".