112112123112 has 192 divisors, whose sum is σ = 342705888000. Its totient is φ = 33933841920.

The previous prime is 112112123099. The next prime is 112112123113. The reversal of 112112123112 is 211321211211.

It is a happy number.

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 not an unprimeable number, because it can be changed into a prime (112112123113) 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 47 ways as a sum of consecutive naturals, for example, 28826064 + ... + 28829952.

It is an arithmetic number, because the mean of its divisors is an integer number (1784926500).

Almost surely, 2^112112123112 is an apocalyptic number.

112112123112 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 112112123112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (171352944000).

112112123112 is an abundant number, since it is smaller than the sum of its proper divisors (230593764888).

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

112112123112 is a wasteful number, since it uses less digits than its factorization.

112112123112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5029 (or 5008 counting only the distinct ones).

The product of its digits is 48, while the sum is 18.

Adding to 112112123112 its reverse (211321211211), we get a palindrome (323433334323).

The spelling of 112112123112 in words is "one hundred twelve billion, one hundred twelve million, one hundred twenty-three thousand, one hundred twelve".