111112122 has 48 divisors (see below), whose sum is σ = 252193536. Its totient is φ = 32577600.

The previous prime is 111112121. The next prime is 111112181. The reversal of 111112122 is 221211111.

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 111112098 and 111112107.

It is not an unprimeable number, because it can be changed into a prime (111112121) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 20038 + ... + 24974.

It is an arithmetic number, because the mean of its divisors is an integer number (5254032).

Almost surely, 2^111112122 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 111112122, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126096768).

111112122 is an abundant number, since it is smaller than the sum of its proper divisors (141081414).

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

111112122 is a wasteful number, since it uses less digits than its factorization.

111112122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4995 (or 4984 counting only the distinct ones).

The product of its digits is 8, while the sum is 12.

The square root of 111112122 is about 10540.9734844558. The cubic root of 111112122 is about 480.7513147188.

Adding to 111112122 its reverse (221211111), we get a palindrome (332323233).

The spelling of 111112122 in words is "one hundred eleven million, one hundred twelve thousand, one hundred twenty-two".