12942120 has 64 divisors (see below), whose sum is σ = 40176000. Its totient is φ = 3331328.

The previous prime is 12942109. The next prime is 12942121. The reversal of 12942120 is 2124921.

12942120 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (12942121) 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, 1621 + ... + 5339.

It is an arithmetic number, because the mean of its divisors is an integer number (627750).

Almost surely, 2^12942120 is an apocalyptic number.

12942120 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 12942120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20088000).

12942120 is an abundant number, since it is smaller than the sum of its proper divisors (27233880).

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

12942120 is a wasteful number, since it uses less digits than its factorization.

12942120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3762 (or 3758 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 21.

The square root of 12942120 is about 3597.5158095553. The cubic root of 12942120 is about 234.7839874077.

The spelling of 12942120 in words is "twelve million, nine hundred forty-two thousand, one hundred twenty".