12121131124224 has 120 divisors (see below), whose sum is σ = 36823584609240. Its totient is φ = 3827725590528.

The previous prime is 12121131124139. The next prime is 12121131124259. The reversal of 12121131124224 is 42242113112121.

12121131124224 is a `hidden beast` number, since 1 + 2 + 12 + 113 + 112 + 422 + 4 = 666.

It is a nude number because it is divisible by every one of its digits and also a Zuckerman number because it is divisible by the product of its digits.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 69134917 + ... + 69310020.

It is an arithmetic number, because the mean of its divisors is an integer number (306863205077).

Almost surely, 2^{12121131124224} is an apocalyptic number.

It is an amenable number.

12121131124224 is an abundant number, since it is smaller than the sum of its proper divisors (24702453485016).

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

12121131124224 is a wasteful number, since it uses less digits than its factorization.

12121131124224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 138444980 (or 138444961 counting only the distinct ones).

The product of its digits is 1536, while the sum is 27.

Adding to 12121131124224 its reverse (42242113112121), we get a palindrome (54363244236345).

The spelling of 12121131124224 in words is "twelve trillion, one hundred twenty-one billion, one hundred thirty-one million, one hundred twenty-four thousand, two hundred twenty-four".