112201112111112 has 160 divisors (see below), whose sum is σ = 320517827803800. Its totient is φ = 36657887026176.

The previous prime is 112201112111111. The next prime is 112201112111147. The reversal of 112201112111112 is 211111211102211.

112201112111112 is a `hidden beast` number, since 11 + 220 + 111 + 211 + 1 + 112 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 106364858195556 + 5836253915556 = 10313334^2 + 2415834^2 .

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 (112201112111111) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 32602564 + ... + 35879372.

Almost surely, 2^{112201112111112} is an apocalyptic number.

112201112111112 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 112201112111112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160258913901900).

112201112111112 is an abundant number, since it is smaller than the sum of its proper divisors (208316715692688).

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

112201112111112 is a wasteful number, since it uses less digits than its factorization.

112201112111112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3277877 (or 3277864 counting only the distinct ones).

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

Adding to 112201112111112 its reverse (211111211102211), we get a palindrome (323312323213323).

The spelling of 112201112111112 in words is "one hundred twelve trillion, two hundred one billion, one hundred twelve million, one hundred eleven thousand, one hundred twelve".