12110122111122 has 192 divisors, whose sum is σ = 30642727175424. Its totient is φ = 3385172736000.

The previous prime is 12110122111093. The next prime is 12110122111151. The reversal of 12110122111122 is 22111122101121.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (12110122111093) and next prime (12110122111151).

It is a super-2 number, since 2×12110122111122² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 12110122111095 and 12110122111104.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2201437372 + ... + 2201442872.

It is an arithmetic number, because the mean of its divisors is an integer number (159597537372).

Almost surely, 2^{12110122111122} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12110122111122, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15321363587712).

12110122111122 is an abundant number, since it is smaller than the sum of its proper divisors (18532605064302).

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

12110122111122 is a wasteful number, since it uses less digits than its factorization.

12110122111122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7473 (or 7470 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 18.

Adding to 12110122111122 its reverse (22111122101121), we get a palindrome (34221244212243).

The spelling of 12110122111122 in words is "twelve trillion, one hundred ten billion, one hundred twenty-two million, one hundred eleven thousand, one hundred twenty-two".