12933529920 has 336 divisors, whose sum is σ = 45681400128. Its totient is φ = 3357573120.

The previous prime is 12933529897. The next prime is 12933529963. The reversal of 12933529920 is 2992533921.

12933529920 is a `hidden beast` number, since 1 + 2 + 9 + 33 + 529 + 92 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 18716775 + ... + 18717465.

It is an arithmetic number, because the mean of its divisors is an integer number (135956548).

Almost surely, 2^12933529920 is an apocalyptic number.

12933529920 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 12933529920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22840700064).

12933529920 is an abundant number, since it is smaller than the sum of its proper divisors (32747870208).

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

12933529920 is a wasteful number, since it uses less digits than its factorization.

12933529920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 878 (or 865 counting only the distinct ones).

The product of its (nonzero) digits is 262440, while the sum is 45.

The spelling of 12933529920 in words is "twelve billion, nine hundred thirty-three million, five hundred twenty-nine thousand, nine hundred twenty".