112112111210112 has 768 divisors, whose sum is σ = 363433425657120. Its totient is φ = 32949550448640.

The previous prime is 112112111209993. The next prime is 112112111210119. The reversal of 112112111210112 is 211012111211211.

112112111210112 is a `hidden beast` number, since 11 + 211 + 211 + 121 + 0 + 112 = 666.

It can be written as a sum of positive squares in 16 ways, for example, as 1291350413376 + 110820760796736 = 1136376^2 + 10527144^2 .

It is a super-2 number, since 2×112112111210112² (a number of 29 digits) contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (112112111210119) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 6140764888 + ... + 6140783144.

Almost surely, 2^{112112111210112} is an apocalyptic number.

112112111210112 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 112112111210112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (181716712828560).

112112111210112 is an abundant number, since it is smaller than the sum of its proper divisors (251321314447008).

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

112112111210112 is a wasteful number, since it uses less digits than its factorization.

112112111210112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18541 (or 18526 counting only the distinct ones).

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

Adding to 112112111210112 its reverse (211012111211211), we get a palindrome (323124222421323).

The spelling of 112112111210112 in words is "one hundred twelve trillion, one hundred twelve billion, one hundred eleven million, two hundred ten thousand, one hundred twelve".