12042120 has 64 divisors (see below), whose sum is σ = 38257920. Its totient is φ = 3021824.

The previous prime is 12042113. The next prime is 12042127. The reversal of 12042120 is 2124021.

It is an interprime number because it is at equal distance from previous prime (12042113) and next prime (12042127).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 12042096 and 12042105.

It is not an unprimeable number, because it can be changed into a prime (12042127) 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, 912 + ... + 4991.

It is an arithmetic number, because the mean of its divisors is an integer number (597780).

Almost surely, 2^12042120 is an apocalyptic number.

12042120 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 12042120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19128960).

12042120 is an abundant number, since it is smaller than the sum of its proper divisors (26215800).

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

12042120 is a wasteful number, since it uses less digits than its factorization.

12042120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5934 (or 5930 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

The square root of 12042120 is about 3470.1757880545. The cubic root of 12042120 is about 229.2103988533.

Adding to 12042120 its reverse (2124021), we get a palindrome (14166141).

The spelling of 12042120 in words is "twelve million, forty-two thousand, one hundred twenty".