13056120 has 256 divisors, whose sum is σ = 54604800. Its totient is φ = 2695680.

The previous prime is 13056107. The next prime is 13056151. The reversal of 13056120 is 2165031.

13056120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a zygodrome in base 2.

It is a junction number, because it is equal to n+sod(n) for n = 13056093 and 13056102.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 83082 + ... + 83238.

It is an arithmetic number, because the mean of its divisors is an integer number (213300).

Almost surely, 2^13056120 is an apocalyptic number.

13056120 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 13056120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27302400).

13056120 is an abundant number, since it is smaller than the sum of its proper divisors (41548680).

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

13056120 is a wasteful number, since it uses less digits than its factorization.

13056120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 195 (or 185 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 18.

The square root of 13056120 is about 3613.3253382445. The cubic root of 13056120 is about 235.4713340904.

The spelling of 13056120 in words is "thirteen million, fifty-six thousand, one hundred twenty".