112112011002112 has 216 divisors, whose sum is σ = 253102642130520. Its totient is φ = 49503387648000.

The previous prime is 112112011002097. The next prime is 112112011002119. The reversal of 112112011002112 is 211200110211211.

It can be written as a sum of positive squares in 4 ways, for example, as 52743383351296 + 59368627650816 = 7262464^2 + 7705104^2 .

It is a Harshad number since it is a multiple of its sum of digits (16).

It is not an unprimeable number, because it can be changed into a prime (112112011002119) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 165476464 + ... + 166152592.

It is an arithmetic number, because the mean of its divisors is an integer number (1171771491345).

Almost surely, 2^{112112011002112} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 112112011002112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126551321065260).

112112011002112 is an abundant number, since it is smaller than the sum of its proper divisors (140990631128408).

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

112112011002112 is a wasteful number, since it uses less digits than its factorization.

112112011002112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 676321 (or 676296 counting only the distinct ones).

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

Adding to 112112011002112 its reverse (211200110211211), we get a palindrome (323312121213323).

The spelling of 112112011002112 in words is "one hundred twelve trillion, one hundred twelve billion, eleven million, two thousand, one hundred twelve".