12544000000 has 315 divisors, whose sum is σ = 36478419789. Its totient is φ = 4300800000.

The previous prime is 12543999977. The next prime is 12544000003. The reversal of 12544000000 is 44521.

The square root of 12544000000 is 112000.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 3 ways, for example, as 10989748224 + 1554251776 = 104832^2 + 39424^2 .

It is a Harshad number since it is a multiple of its sum of digits (16).

It is not an unprimeable number, because it can be changed into a prime (12544000003) 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 20 ways as a sum of consecutive naturals, for example, 1791999997 + ... + 1792000003.

Almost surely, 2^12544000000 is an apocalyptic number.

12544000000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

12544000000 is the 112000-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12544000000

12544000000 is an abundant number, since it is smaller than the sum of its proper divisors (23934419789).

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

12544000000 is an frugal number, since it uses more digits than its factorization.

12544000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 72 (or 14 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 16.

Multiplying 12544000000 by its sum of digits (16), we get a square (200704000000 = 448000²).

12544000000 divided by its sum of digits (16) gives a square (784000000 = 28000²).

Adding to 12544000000 its reverse (44521), we get a palindrome (12544044521).

Multiplying 12544000000 by its reverse (44521), we get a square (558471424000000 = 23632000²).

The spelling of 12544000000 in words is "twelve billion, five hundred forty-four million", and thus it is an aban number.