111110122211112 has 768 divisors, whose sum is σ = 331517889331200. Its totient is φ = 33522447974400.

The previous prime is 111110122211083. The next prime is 111110122211129. The reversal of 111110122211112 is 211112221011111.

111110122211112 is a `hidden beast` number, since 111 + 110 + 122 + 211 + 112 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 85667017248 + ... + 85667018544.

It is an arithmetic number, because the mean of its divisors is an integer number (431663918400).

Almost surely, 2^{111110122211112} is an apocalyptic number.

111110122211112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 111110122211112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165758944665600).

111110122211112 is an abundant number, since it is smaller than the sum of its proper divisors (220407767120088).

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

111110122211112 is a wasteful number, since it uses less digits than its factorization.

111110122211112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1706 (or 1699 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 18.

Adding to 111110122211112 its reverse (211112221011111), we get a palindrome (322222343222223).

The spelling of 111110122211112 in words is "one hundred eleven trillion, one hundred ten billion, one hundred twenty-two million, two hundred eleven thousand, one hundred twelve".