112011120211122 has 144 divisors (see below), whose sum is σ = 271812462516504. Its totient is φ = 33299883302400.

The previous prime is 112011120211097. The next prime is 112011120211171. The reversal of 112011120211122 is 221112021110211.

It is a happy number.

112011120211122 is a `hidden beast` number, since 11 + 201 + 1 + 120 + 211 + 122 = 666.

112011120211122 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 80803936788201 + 31207183422921 = 8989101^2 + 5586339^2 .

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 = 112011120211095 and 112011120211104.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 2106990222 + ... + 2107043382.

Almost surely, 2^{112011120211122} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 112011120211122, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135906231258252).

112011120211122 is an abundant number, since it is smaller than the sum of its proper divisors (159801342305382).

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

112011120211122 is a wasteful number, since it uses less digits than its factorization.

112011120211122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 71497 (or 71483 counting only the distinct ones).

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

Adding to 112011120211122 its reverse (221112021110211), we get a palindrome (333123141321333).

The spelling of 112011120211122 in words is "one hundred twelve trillion, eleven billion, one hundred twenty million, two hundred eleven thousand, one hundred twenty-two".