12799200 has 72 divisors (see below), whose sum is σ = 41669208. Its totient is φ = 3412480.

The previous prime is 12799183. The next prime is 12799207. The reversal of 12799200 is 299721.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12799207) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 267 + ... + 5066.

It is an arithmetic number, because the mean of its divisors is an integer number (578739).

Almost surely, 2^12799200 is an apocalyptic number.

12799200 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 12799200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20834604).

12799200 is an abundant number, since it is smaller than the sum of its proper divisors (28870008).

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

12799200 is a wasteful number, since it uses less digits than its factorization.

12799200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5356 (or 5343 counting only the distinct ones).

The product of its (nonzero) digits is 2268, while the sum is 30.

The square root of 12799200 is about 3577.5969588538. The cubic root of 12799200 is about 233.9165455926.

The spelling of 12799200 in words is "twelve million, seven hundred ninety-nine thousand, two hundred".