12688120 has 64 divisors (see below), whose sum is σ = 30948480. Its totient is φ = 4663296.

The previous prime is 12688099. The next prime is 12688129. The reversal of 12688120 is 2188621.

12688120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12688129) 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, 31762 + ... + 32158.

It is an arithmetic number, because the mean of its divisors is an integer number (483570).

Almost surely, 2^12688120 is an apocalyptic number.

12688120 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 12688120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15474240).

12688120 is an abundant number, since it is smaller than the sum of its proper divisors (18260360).

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

12688120 is a wasteful number, since it uses less digits than its factorization.

12688120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 472 (or 468 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 28.

The square root of 12688120 is about 3562.0387420689. The cubic root of 12688120 is about 233.2378838624.

The spelling of 12688120 in words is "twelve million, six hundred eighty-eight thousand, one hundred twenty".