12933120 has 96 divisors (see below), whose sum is σ = 41474160. Its totient is φ = 3440640.

The previous prime is 12933103. The next prime is 12933127. The reversal of 12933120 is 2133921.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12933127) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 30510 + ... + 30930.

Almost surely, 2^12933120 is an apocalyptic number.

12933120 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 12933120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20737080).

12933120 is an abundant number, since it is smaller than the sum of its proper divisors (28541040).

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

12933120 is an equidigital number, since it uses as much as digits as its factorization.

12933120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 451 (or 431 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 21.

The square root of 12933120 is about 3596.2647288541. The cubic root of 12933120 is about 234.7295515583.

The spelling of 12933120 in words is "twelve million, nine hundred thirty-three thousand, one hundred twenty".