12330933120 has 384 divisors, whose sum is σ = 48900758400. Its totient is φ = 2831708160.

The previous prime is 12330933103. The next prime is 12330933127. The reversal of 12330933120 is 2133903321.

12330933120 is a `hidden beast` number, since 1 + 2 + 3 + 309 + 331 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12330933127) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1198719 + ... + 1208961.

It is an arithmetic number, because the mean of its divisors is an integer number (127345725).

Almost surely, 2^12330933120 is an apocalyptic number.

12330933120 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 12330933120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24450379200).

12330933120 is an abundant number, since it is smaller than the sum of its proper divisors (36569825280).

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

12330933120 is a wasteful number, since it uses less digits than its factorization.

12330933120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10298 (or 10283 counting only the distinct ones).

The product of its (nonzero) digits is 2916, while the sum is 27.

The spelling of 12330933120 in words is "twelve billion, three hundred thirty million, nine hundred thirty-three thousand, one hundred twenty".