13215120 has 160 divisors (see below), whose sum is σ = 44997120. Its totient is φ = 3194880.

The previous prime is 13215113. The next prime is 13215121. The reversal of 13215120 is 2151231.

It is a super-2 number, since 2×13215120² = 349278793228800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 13215120.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13215121) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 167241 + ... + 167319.

It is an arithmetic number, because the mean of its divisors is an integer number (281232).

Almost surely, 2^13215120 is an apocalyptic number.

13215120 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 13215120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22498560).

13215120 is an abundant number, since it is smaller than the sum of its proper divisors (31782000).

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

13215120 is a wasteful number, since it uses less digits than its factorization.

13215120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 153 (or 147 counting only the distinct ones).

The product of its (nonzero) digits is 60, while the sum is 15.

The square root of 13215120 is about 3635.2606509025. The cubic root of 13215120 is about 236.4233519552.

Adding to 13215120 its reverse (2151231), we get a palindrome (15366351).

It can be divided in two parts, 1321 and 5120, that added together give a triangular number (6441 = T₁₁₃).

The spelling of 13215120 in words is "thirteen million, two hundred fifteen thousand, one hundred twenty".