13362120 has 48 divisors (see below), whose sum is σ = 43428060. Its totient is φ = 3563136.

The previous prime is 13362091. The next prime is 13362133. The reversal of 13362120 is 2126331.

It can be written as a sum of positive squares in 2 ways, for example, as 13351716 + 10404 = 3654^2 + 102^2 .

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

It is a junction number, because it is equal to n+sod(n) for n = 13362093 and 13362102.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 18199 + ... + 18918.

Almost surely, 2^13362120 is an apocalyptic number.

13362120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13362120 is an abundant number, since it is smaller than the sum of its proper divisors (30065940).

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

13362120 is a wasteful number, since it uses less digits than its factorization.

13362120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37134 (or 37127 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

The square root of 13362120 is about 3655.4233680929. The cubic root of 13362120 is about 237.2967494705.

Adding to 13362120 its reverse (2126331), we get a palindrome (15488451).

The spelling of 13362120 in words is "thirteen million, three hundred sixty-two thousand, one hundred twenty".