12752251200 has 882 divisors, whose sum is σ = 52472501354. Its totient is φ = 3030773760.

The previous prime is 12752251177. The next prime is 12752251241. The reversal of 12752251200 is 215225721.

12752251200 is a `hidden beast` number, since 12 + 7 + 522 + 5 + 120 + 0 = 666.

It can be written as a sum of positive squares in 9 ways, for example, as 5361754176 + 7390497024 = 73224^2 + 85968^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 125 ways as a sum of consecutive naturals, for example, 439732786 + ... + 439732814.

Almost surely, 2^12752251200 is an apocalyptic number.

12752251200 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 12752251200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26236250677).

12752251200 is an abundant number, since it is smaller than the sum of its proper divisors (39720250154).

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

12752251200 is an equidigital number, since it uses as much as digits as its factorization.

12752251200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 111 (or 52 counting only the distinct ones).

The product of its (nonzero) digits is 2800, while the sum is 27.

Adding to 12752251200 its reverse (215225721), we get a palindrome (12967476921).

The spelling of 12752251200 in words is "twelve billion, seven hundred fifty-two million, two hundred fifty-one thousand, two hundred".