12442120 has 32 divisors (see below), whose sum is σ = 28384920. Its totient is φ = 4907520.

The previous prime is 12442117. The next prime is 12442139. The reversal of 12442120 is 2124421.

12442120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 12236004 + 206116 = 3498^2 + 454^2 .

It is a junction number, because it is equal to n+sod(n) for n = 12442094 and 12442103.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 790 + ... + 5050.

Almost surely, 2^12442120 is an apocalyptic number.

12442120 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 12442120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14192460).

12442120 is an abundant number, since it is smaller than the sum of its proper divisors (15942800).

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

12442120 is a wasteful number, since it uses less digits than its factorization.

12442120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4345 (or 4341 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 16.

The square root of 12442120 is about 3527.3389403345. The cubic root of 12442120 is about 231.7206804913.

Adding to 12442120 its reverse (2124421), we get a palindrome (14566541).

It can be divided in two parts, 1244 and 2120, that added together give a square (3364 = 58²).

The spelling of 12442120 in words is "twelve million, four hundred forty-two thousand, one hundred twenty".