12333055680 has 672 divisors, whose sum is σ = 49035248640. Its totient is φ = 2914560000.

The previous prime is 12333055663. The next prime is 12333055681. The reversal of 12333055680 is 8655033321.

12333055680 is a `hidden beast` number, since 1 + 23 + 3 + 3 + 0 + 556 + 80 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12333055681) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 49135555 + ... + 49135805.

It is an arithmetic number, because the mean of its divisors is an integer number (72969120).

Almost surely, 2^12333055680 is an apocalyptic number.

12333055680 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 12333055680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24517624320).

12333055680 is an abundant number, since it is smaller than the sum of its proper divisors (36702192960).

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

12333055680 is a wasteful number, since it uses less digits than its factorization.

12333055680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 346 (or 319 counting only the distinct ones).

The product of its (nonzero) digits is 64800, while the sum is 36.

The spelling of 12333055680 in words is "twelve billion, three hundred thirty-three million, fifty-five thousand, six hundred eighty".