13189120 has 120 divisors (see below), whose sum is σ = 37747584. Its totient is φ = 4325376.

The previous prime is 13189091. The next prime is 13189133. The reversal of 13189120 is 2198131.

It is a nialpdrome in base 16.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 573429 + ... + 573451.

Almost surely, 2^13189120 is an apocalyptic number.

13189120 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 13189120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18873792).

13189120 is an abundant number, since it is smaller than the sum of its proper divisors (24558464).

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

13189120 is an frugal number, since it uses more digits than its factorization.

13189120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 63 (or 37 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 25.

The square root of 13189120 is about 3631.6828055324. The cubic root of 13189120 is about 236.2682003093.

The spelling of 13189120 in words is "thirteen million, one hundred eighty-nine thousand, one hundred twenty".