12237543168400 has 135 divisors (see below), whose sum is σ = 32318501593539. Its totient is φ = 4449735840000.

The previous prime is 12237543168379. The next prime is 12237543168419. The reversal of 12237543168400 is 486134573221.

The square root of 12237543168400 is 3498220.

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

It can be written as a sum of positive squares in 4 ways, for example, as 3499039607184 + 8738503561216 = 1870572^2 + 2956096^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 769600450 + ... + 769616350.

Almost surely, 2^{12237543168400} is an apocalyptic number.

12237543168400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

12237543168400 is the 3498220-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12237543168400

12237543168400 is an abundant number, since it is smaller than the sum of its proper divisors (20080958425139).

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

12237543168400 is an frugal number, since it uses more digits than its factorization.

12237543168400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31842 (or 15919 counting only the distinct ones).

The product of its (nonzero) digits is 967680, while the sum is 46.

The spelling of 12237543168400 in words is "twelve trillion, two hundred thirty-seven billion, five hundred forty-three million, one hundred sixty-eight thousand, four hundred".