12321133200 has 360 divisors, whose sum is σ = 44212926888. Its totient is φ = 3175096320.

The previous prime is 12321133199. The next prime is 12321133213. The reversal of 12321133200 is 233112321.

12321133200 is a `hidden beast` number, since 1 + 232 + 113 + 320 + 0 = 666.

It can be written as a sum of positive squares in 12 ways, for example, as 1688223744 + 10632909456 = 41088^2 + 103116^2 .

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 an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 31035402 + ... + 31035798.

Almost surely, 2^12321133200 is an apocalyptic number.

12321133200 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 12321133200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22106463444).

12321133200 is an abundant number, since it is smaller than the sum of its proper divisors (31891793688).

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

12321133200 is a wasteful number, since it uses less digits than its factorization.

12321133200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 691 (or 677 counting only the distinct ones).

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

Adding to 12321133200 its reverse (233112321), we get a palindrome (12554245521).

The spelling of 12321133200 in words is "twelve billion, three hundred twenty-one million, one hundred thirty-three thousand, two hundred".