12617120 has 24 divisors (see below), whose sum is σ = 29808324. Its totient is φ = 5046784.

The previous prime is 12617113. The next prime is 12617123. The reversal of 12617120 is 2171621.

It can be written as a sum of positive squares in 2 ways, for example, as 12138256 + 478864 = 3484^2 + 692^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 12617092 and 12617101.

It is not an unprimeable number, because it can be changed into a prime (12617123) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 39269 + ... + 39588.

Almost surely, 2^12617120 is an apocalyptic number.

12617120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12617120 is an abundant number, since it is smaller than the sum of its proper divisors (17191204).

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

12617120 is an equidigital number, since it uses as much as digits as its factorization.

12617120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 78872 (or 78864 counting only the distinct ones).

The product of its (nonzero) digits is 168, while the sum is 20.

The square root of 12617120 is about 3552.0585580759. The cubic root of 12617120 is about 232.8020201129.

Adding to 12617120 its reverse (2171621), we get a palindrome (14788741).

The spelling of 12617120 in words is "twelve million, six hundred seventeen thousand, one hundred twenty".