112122201212112 has 480 divisors, whose sum is σ = 377100670679040. Its totient is φ = 27950351754240.

The previous prime is 112122201212057. The next prime is 112122201212123. The reversal of 112122201212112 is 211212102221211.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 692155287 + ... + 692317257.

It is an arithmetic number, because the mean of its divisors is an integer number (785626397248).

Almost surely, 2^{112122201212112} is an apocalyptic number.

112122201212112 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 112122201212112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (188550335339520).

112122201212112 is an abundant number, since it is smaller than the sum of its proper divisors (264978469466928).

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

112122201212112 is a wasteful number, since it uses less digits than its factorization.

112122201212112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 162479 (or 162454 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 21.

Adding to 112122201212112 its reverse (211212102221211), we get a palindrome (323334303433323).

The spelling of 112122201212112 in words is "one hundred twelve trillion, one hundred twenty-two billion, two hundred one million, two hundred twelve thousand, one hundred twelve".