112221002112 has 256 divisors, whose sum is σ = 317260800000. Its totient is φ = 35087015936.

The previous prime is 112221002071. The next prime is 112221002143. The reversal of 112221002112 is 211200122211.

It is a junction number, because it is equal to n+sod(n) for n = 112221002091 and 112221002100.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 77984689 + ... + 77986127.

It is an arithmetic number, because the mean of its divisors is an integer number (1239300000).

Almost surely, 2^112221002112 is an apocalyptic number.

112221002112 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 112221002112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158630400000).

112221002112 is an abundant number, since it is smaller than the sum of its proper divisors (205039797888).

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

112221002112 is a wasteful number, since it uses less digits than its factorization.

112221002112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1681 (or 1669 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 112221002112 its reverse (211200122211), we get a palindrome (323421124323).

The spelling of 112221002112 in words is "one hundred twelve billion, two hundred twenty-one million, two thousand, one hundred twelve".