12324325200 has 240 divisors, whose sum is σ = 43162523136. Its totient is φ = 2981158400.

The previous prime is 12324325193. The next prime is 12324325201. The reversal of 12324325200 is 252342321.

12324325200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12324325201) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 9014917 + ... + 9016283.

Almost surely, 2^12324325200 is an apocalyptic number.

12324325200 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 12324325200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21581261568).

12324325200 is an abundant number, since it is smaller than the sum of its proper divisors (30838197936).

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

12324325200 is a wasteful number, since it uses less digits than its factorization.

12324325200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2082 (or 2071 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 24.

Adding to 12324325200 its reverse (252342321), we get a palindrome (12576667521).

The spelling of 12324325200 in words is "twelve billion, three hundred twenty-four million, three hundred twenty-five thousand, two hundred".