12252343504400 has 60 divisors (see below), whose sum is σ = 30451298583300. Its totient is φ = 4731939555840.

The previous prime is 12252343504397. The next prime is 12252343504411. The reversal of 12252343504400 is 440534325221.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 1072334807296 + 11180008697104 = 1035536^2 + 3343652^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 528106655 + ... + 528129854.

It is an arithmetic number, because the mean of its divisors is an integer number (507521643055).

Almost surely, 2^{12252343504400} is an apocalyptic number.

12252343504400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12252343504400 is an abundant number, since it is smaller than the sum of its proper divisors (18198955078900).

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

12252343504400 is a wasteful number, since it uses less digits than its factorization.

12252343504400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1056236556 (or 1056236545 counting only the distinct ones).

The product of its (nonzero) digits is 115200, while the sum is 35.

Adding to 12252343504400 its reverse (440534325221), we get a palindrome (12692877829621).

The spelling of 12252343504400 in words is "twelve trillion, two hundred fifty-two billion, three hundred forty-three million, five hundred four thousand, four hundred".