13402120 has 32 divisors (see below), whose sum is σ = 31930200. Its totient is φ = 5045248.

The previous prime is 13402099. The next prime is 13402133. The reversal of 13402120 is 2120431.

It can be written as a sum of positive squares in 4 ways, for example, as 12152196 + 1249924 = 3486^2 + 1118^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 13402120.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 9175 + ... + 10534.

Almost surely, 2^13402120 is an apocalyptic number.

13402120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13402120 is an abundant number, since it is smaller than the sum of its proper divisors (18528080).

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

13402120 is a wasteful number, since it uses less digits than its factorization.

13402120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19737 (or 19733 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 13.

The square root of 13402120 is about 3660.8906020257. The cubic root of 13402120 is about 237.5332991168.

Adding to 13402120 its reverse (2120431), we get a palindrome (15522551).

The spelling of 13402120 in words is "thirteen million, four hundred two thousand, one hundred twenty".