12330133200 has 480 divisors, whose sum is σ = 54718878720. Its totient is φ = 2561932800.

The previous prime is 12330133187. The next prime is 12330133229. The reversal of 12330133200 is 233103321.

12330133200 is a `hidden beast` number, since 1 + 2 + 330 + 1 + 332 + 0 + 0 = 666.

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 polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 824187 + ... + 839013.

It is an arithmetic number, because the mean of its divisors is an integer number (113997664).

Almost surely, 2^12330133200 is an apocalyptic number.

12330133200 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 12330133200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27359439360).

12330133200 is an abundant number, since it is smaller than the sum of its proper divisors (42388745520).

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

12330133200 is a wasteful number, since it uses less digits than its factorization.

12330133200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14872 (or 14855 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 18.

Adding to 12330133200 its reverse (233103321), we get a palindrome (12563236521).

It can be divided in two parts, 12330 and 133200, that added together give a triangular number (145530 = T₅₃₉).

The spelling of 12330133200 in words is "twelve billion, three hundred thirty million, one hundred thirty-three thousand, two hundred".