220122011002112 has 72 divisors (see below), whose sum is σ = 443996670178152. Its totient is φ = 108906047078400.

The previous prime is 220122011002067. The next prime is 220122011002133. The reversal of 220122011002112 is 211200110221022.

It can be written as a sum of positive squares in 4 ways, for example, as 71880282194176 + 148241728807936 = 8478224^2 + 12175456^2 .

It is a super-2 number, since 2×220122011002112² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 132797312 + ... + 134444672.

It is an arithmetic number, because the mean of its divisors is an integer number (6166620419141).

Almost surely, 2^{220122011002112} 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 220122011002112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (221998335089076).

220122011002112 is an abundant number, since it is smaller than the sum of its proper divisors (223874659176040).

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

220122011002112 is an equidigital number, since it uses as much as digits as its factorization.

220122011002112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1652855 (or 1652841 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 17.

Adding to 220122011002112 its reverse (211200110221022), we get a palindrome (431322121223134).

The spelling of 220122011002112 in words is "two hundred twenty trillion, one hundred twenty-two billion, eleven million, two thousand, one hundred twelve".