12333645120 has 448 divisors, whose sum is σ = 43408982016. Its totient is φ = 2956124160.

The previous prime is 12333645091. The next prime is 12333645127. The reversal of 12333645120 is 2154633321.

12333645120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12333645127) 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 63 ways as a sum of consecutive naturals, for example, 25325517 + ... + 25326003.

Almost surely, 2^12333645120 is an apocalyptic number.

12333645120 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 12333645120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21704491008).

12333645120 is an abundant number, since it is smaller than the sum of its proper divisors (31075336896).

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

12333645120 is a wasteful number, since it uses less digits than its factorization.

12333645120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 598 (or 588 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 30.

The spelling of 12333645120 in words is "twelve billion, three hundred thirty-three million, six hundred forty-five thousand, one hundred twenty".