13199200 has 72 divisors (see below), whose sum is σ = 36841392. Its totient is φ = 4523520.

The previous prime is 13199189. The next prime is 13199209. The reversal of 13199200 is 299131.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13199209) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4422 + ... + 6778.

It is an arithmetic number, because the mean of its divisors is an integer number (511686).

Almost surely, 2^13199200 is an apocalyptic number.

13199200 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 13199200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18420696).

13199200 is an abundant number, since it is smaller than the sum of its proper divisors (23642192).

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

13199200 is a wasteful number, since it uses less digits than its factorization.

13199200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2384 (or 2371 counting only the distinct ones).

The product of its (nonzero) digits is 486, while the sum is 25.

The square root of 13199200 is about 3633.0703268723. The cubic root of 13199200 is about 236.3283755900.

The spelling of 13199200 in words is "thirteen million, one hundred ninety-nine thousand, two hundred".