12608120 has 64 divisors (see below), whose sum is σ = 33324480. Its totient is φ = 4202496.

The previous prime is 12608119. The next prime is 12608143. The reversal of 12608120 is 2180621.

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 = 12608092 and 12608101.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9752 + ... + 10968.

It is an arithmetic number, because the mean of its divisors is an integer number (520695).

Almost surely, 2^12608120 is an apocalyptic number.

12608120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12608120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16662240).

12608120 is an abundant number, since it is smaller than the sum of its proper divisors (20716360).

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

12608120 is a wasteful number, since it uses less digits than its factorization.

12608120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1272 (or 1268 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 20.

The square root of 12608120 is about 3550.7914610689. The cubic root of 12608120 is about 232.7466531046.

Adding to 12608120 its reverse (2180621), we get a palindrome (14788741).

The spelling of 12608120 in words is "twelve million, six hundred eight thousand, one hundred twenty".