13119200 has 108 divisors (see below), whose sum is σ = 34560288. Its totient is φ = 4857600.

The previous prime is 13119191. The next prime is 13119233. The reversal of 13119200 is 291131.

It is a happy number.

It is a super-2 number, since 2×13119200² = 344226817280000, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 423185 + ... + 423215.

Almost surely, 2^13119200 is an apocalyptic number.

13119200 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 13119200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17280144).

13119200 is an abundant number, since it is smaller than the sum of its proper divisors (21441088).

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

13119200 is a wasteful number, since it uses less digits than its factorization.

13119200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 97 (or 61 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 17.

The square root of 13119200 is about 3622.0436220454. The cubic root of 13119200 is about 235.8499477058.

The spelling of 13119200 in words is "thirteen million, one hundred nineteen thousand, two hundred".