12042242123120 has 80 divisors (see below), whose sum is σ = 30544233481440. Its totient is φ = 4378892697600.

The previous prime is 12042242123069. The next prime is 12042242123129. The reversal of 12042242123120 is 2132124224021.

It is a happy number.

12042242123120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (80).

It is a self number, because there is not a number n which added to its sum of digits gives 12042242123120.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12042242123129) 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, 43341440 + ... + 43618400.

It is an arithmetic number, because the mean of its divisors is an integer number (381802918518).

Almost surely, 2^{12042242123120} is an apocalyptic number.

12042242123120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12042242123120 is an abundant number, since it is smaller than the sum of its proper divisors (18501991358320).

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

12042242123120 is a wasteful number, since it uses less digits than its factorization.

12042242123120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 326394 (or 326388 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 26.

Adding to 12042242123120 its reverse (2132124224021), we get a palindrome (14174366347141).

The spelling of 12042242123120 in words is "twelve trillion, forty-two billion, two hundred forty-two million, one hundred twenty-three thousand, one hundred twenty".