11112121120122 has 256 divisors, whose sum is σ = 27628283105280. Its totient is φ = 3282158880000.

The previous prime is 11112121120109. The next prime is 11112121120181. The reversal of 11112121120122 is 22102112121111.

It is a happy number.

11112121120122 is a `hidden beast` number, since 111 + 121 + 211 + 201 + 22 = 666.

It is a super-2 number, since 2×11112121120122² (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 = 11112121120095 and 11112121120104.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 4808359347 + ... + 4808361657.

It is an arithmetic number, because the mean of its divisors is an integer number (107922980880).

Almost surely, 2^{11112121120122} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11112121120122, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13814141552640).

11112121120122 is an abundant number, since it is smaller than the sum of its proper divisors (16516161985158).

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

11112121120122 is a wasteful number, since it uses less digits than its factorization.

11112121120122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3538 (or 3532 counting only the distinct ones).

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

Adding to 11112121120122 its reverse (22102112121111), we get a palindrome (33214233241233).

The spelling of 11112121120122 in words is "eleven trillion, one hundred twelve billion, one hundred twenty-one million, one hundred twenty thousand, one hundred twenty-two".