112122011002164 has 96 divisors (see below), whose sum is σ = 279199755878400. Its totient is φ = 34897150858752.

The previous prime is 112122011002163. The next prime is 112122011002247. The reversal of 112122011002164 is 461200110221211.

It is a super-2 number, since 2×112122011002164² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (112122011002163) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 773721787 + ... + 773866685.

It is an arithmetic number, because the mean of its divisors is an integer number (2908330790400).

Almost surely, 2^{112122011002164} 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 112122011002164, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139599877939200).

112122011002164 is an abundant number, since it is smaller than the sum of its proper divisors (167077744876236).

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

112122011002164 is a wasteful number, since it uses less digits than its factorization.

112122011002164 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 174917 (or 174915 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 24.

Adding to 112122011002164 its reverse (461200110221211), we get a palindrome (573322121223375).

The spelling of 112122011002164 in words is "one hundred twelve trillion, one hundred twenty-two billion, eleven million, two thousand, one hundred sixty-four".