112112122122 has 288 divisors, whose sum is σ = 335592930816. Its totient is φ = 26252553600.

The previous prime is 112112122117. The next prime is 112112122141. The reversal of 112112122122 is 221221211211.

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

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 = 112112122095 and 112112122104.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 10066497 + ... + 10077627.

It is an arithmetic number, because the mean of its divisors is an integer number (1165253232).

Almost surely, 2^112112122122 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 112112122122, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (167796465408).

112112122122 is an abundant number, since it is smaller than the sum of its proper divisors (223480808694).

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

112112122122 is a wasteful number, since it uses less digits than its factorization.

112112122122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11226 (or 11210 counting only the distinct ones).

The product of its digits is 64, while the sum is 18.

Adding to 112112122122 its reverse (221221211211), we get a palindrome (333333333333).

The spelling of 112112122122 in words is "one hundred twelve billion, one hundred twelve million, one hundred twenty-two thousand, one hundred twenty-two".