13122120 has 64 divisors (see below), whose sum is σ = 42949440. Its totient is φ = 3180800.

The previous prime is 13122119. The next prime is 13122127. The reversal of 13122120 is 2122131.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 13122096 and 13122105.

It is not an unprimeable number, because it can be changed into a prime (13122127) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3651 + ... + 6290.

It is an arithmetic number, because the mean of its divisors is an integer number (671085).

Almost surely, 2^13122120 is an apocalyptic number.

13122120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13122120 is an abundant number, since it is smaller than the sum of its proper divisors (29827320).

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

13122120 is a wasteful number, since it uses less digits than its factorization.

13122120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9966 (or 9962 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

The square root of 13122120 is about 3622.4466869783. The cubic root of 13122120 is about 235.8674444729.

Adding to 13122120 its reverse (2122131), we get a palindrome (15244251).

The spelling of 13122120 in words is "thirteen million, one hundred twenty-two thousand, one hundred twenty".