12933200 has 120 divisors (see below), whose sum is σ = 36902400. Its totient is φ = 4262400.

The previous prime is 12933161. The next prime is 12933203. The reversal of 12933200 is 233921.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12933203) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 86726 + ... + 86874.

It is an arithmetic number, because the mean of its divisors is an integer number (307520).

Almost surely, 2^12933200 is an apocalyptic number.

12933200 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 12933200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18451200).

12933200 is an abundant number, since it is smaller than the sum of its proper divisors (23969200).

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

12933200 is a wasteful number, since it uses less digits than its factorization.

12933200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 205 (or 194 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 20.

The square root of 12933200 is about 3596.2758514886. The cubic root of 12933200 is about 234.7300355437.

The spelling of 12933200 in words is "twelve million, nine hundred thirty-three thousand, two hundred".