112212220010112 has 384 divisors, whose sum is σ = 338595266880000. Its totient is φ = 35631601754112.

The previous prime is 112212220010083. The next prime is 112212220010113. The reversal of 112212220010112 is 211010022212211.

112212220010112 is a `hidden beast` number, since 112 + 212 + 220 + 0 + 10 + 112 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

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 (112212220010113) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1082043639 + ... + 1082147337.

It is an arithmetic number, because the mean of its divisors is an integer number (881758507500).

Almost surely, 2^{112212220010112} is an apocalyptic number.

112212220010112 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 112212220010112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (169297633440000).

112212220010112 is an abundant number, since it is smaller than the sum of its proper divisors (226383046869888).

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

112212220010112 is a wasteful number, since it uses less digits than its factorization.

112212220010112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 104288 (or 104273 counting only the distinct ones).

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

Adding to 112212220010112 its reverse (211010022212211), we get a palindrome (323222242222323).

The spelling of 112212220010112 in words is "one hundred twelve trillion, two hundred twelve billion, two hundred twenty million, ten thousand, one hundred twelve".