12311220442122 has 384 divisors, whose sum is σ = 34081428326400. Its totient is φ = 3274939164672.

The previous prime is 12311220442091. The next prime is 12311220442123. The reversal of 12311220442122 is 22124402211321.

12311220442122 is a `hidden beast` number, since 1 + 2 + 3 + 1 + 12 + 204 + 421 + 22 = 666.

It is a super-2 number, since 2×12311220442122² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (12311220442123) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 805331563 + ... + 805346849.

It is an arithmetic number, because the mean of its divisors is an integer number (88753719600).

Almost surely, 2^{12311220442122} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12311220442122, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17040714163200).

12311220442122 is an abundant number, since it is smaller than the sum of its proper divisors (21770207884278).

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

12311220442122 is a wasteful number, since it uses less digits than its factorization.

12311220442122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15607 (or 15594 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

Adding to 12311220442122 its reverse (22124402211321), we get a palindrome (34435622653443).

The spelling of 12311220442122 in words is "twelve trillion, three hundred eleven billion, two hundred twenty million, four hundred forty-two thousand, one hundred twenty-two".