13225120 has 24 divisors (see below), whose sum is σ = 31244724. Its totient is φ = 5289984.

The previous prime is 13225117. The next prime is 13225151. The reversal of 13225120 is 2152231.

It can be written as a sum of positive squares in 2 ways, for example, as 13220496 + 4624 = 3636^2 + 68^2 .

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 13225094 and 13225103.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 41169 + ... + 41488.

Almost surely, 2^13225120 is an apocalyptic number.

13225120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13225120 is an abundant number, since it is smaller than the sum of its proper divisors (18019604).

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

13225120 is an equidigital number, since it uses as much as digits as its factorization.

13225120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 82672 (or 82664 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 16.

The square root of 13225120 is about 3636.6358079962. The cubic root of 13225120 is about 236.4829714775.

Adding to 13225120 its reverse (2152231), we get a palindrome (15377351).

It can be divided in two parts, 132 and 25120, that added together give a palindrome (25252).

The spelling of 13225120 in words is "thirteen million, two hundred twenty-five thousand, one hundred twenty".