12321331200 has 360 divisors, whose sum is σ = 45650945340. Its totient is φ = 3284582400.

The previous prime is 12321331133. The next prime is 12321331249. The reversal of 12321331200 is 213312321.

12321331200 is a `hidden beast` number, since 12 + 321 + 331 + 2 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (360).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 4145715 + ... + 4148685.

Almost surely, 2^12321331200 is an apocalyptic number.

12321331200 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 12321331200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22825472670).

12321331200 is an abundant number, since it is smaller than the sum of its proper divisors (33329614140).

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

12321331200 is an equidigital number, since it uses as much as digits as its factorization.

12321331200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3015 (or 2981 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 12321331200 its reverse (213312321), we get a palindrome (12534643521).

The spelling of 12321331200 in words is "twelve billion, three hundred twenty-one million, three hundred thirty-one thousand, two hundred".