12883200 has 216 divisors, whose sum is σ = 47142816. Its totient is φ = 3072000.

The previous prime is 12883193. The next prime is 12883201. The reversal of 12883200 is 238821.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12883201) 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 23 ways as a sum of consecutive naturals, for example, 211170 + ... + 211230.

Almost surely, 2^12883200 is an apocalyptic number.

12883200 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 12883200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23571408).

12883200 is an abundant number, since it is smaller than the sum of its proper divisors (34259616).

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

12883200 is a wasteful number, since it uses less digits than its factorization.

12883200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 101 (or 82 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 24.

The square root of 12883200 is about 3589.3174838679. The cubic root of 12883200 is about 234.4271546156.

The spelling of 12883200 in words is "twelve million, eight hundred eighty-three thousand, two hundred".