12332544400 has 120 divisors (see below), whose sum is σ = 32643678528. Its totient is φ = 4440000000.

The previous prime is 12332544391. The next prime is 12332544421. The reversal of 12332544400 is 444523321.

It is a happy number.

12332544400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 23 ways as a sum of consecutive naturals, for example, 430525 + ... + 458275.

Almost surely, 2^12332544400 is an apocalyptic number.

12332544400 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 12332544400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16321839264).

12332544400 is an abundant number, since it is smaller than the sum of its proper divisors (20311134128).

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

12332544400 is a wasteful number, since it uses less digits than its factorization.

12332544400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27881 (or 27870 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 28.

It can be divided in two parts, 123 and 32544400, that added together give a palindrome (32544523).

The spelling of 12332544400 in words is "twelve billion, three hundred thirty-two million, five hundred forty-four thousand, four hundred".