12753715200 has 360 divisors, whose sum is σ = 43003935072. Its totient is φ = 3334471680.

The previous prime is 12753715189. The next prime is 12753715213. The reversal of 12753715200 is 251735721.

It is a happy number.

It is a super-2 number, since 2×12753715200² (a number of 21 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 119193547 + ... + 119193653.

Almost surely, 2^12753715200 is an apocalyptic number.

12753715200 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 12753715200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21501967536).

12753715200 is an abundant number, since it is smaller than the sum of its proper divisors (30250219872).

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

12753715200 is an equidigital number, since it uses as much as digits as its factorization.

12753715200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 245 (or 214 counting only the distinct ones).

The product of its (nonzero) digits is 14700, while the sum is 33.

The spelling of 12753715200 in words is "twelve billion, seven hundred fifty-three million, seven hundred fifteen thousand, two hundred".