222122121112122 has 128 divisors (see below), whose sum is σ = 578042384928768. Its totient is φ = 55176220915200.

The previous prime is 222122121112117. The next prime is 222122121112169. The reversal of 222122121112122 is 221211121221222.

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 222122121112092 and 222122121112101.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 60714288 + ... + 64268724.

It is an arithmetic number, because the mean of its divisors is an integer number (4515956132256).

Almost surely, 2^{222122121112122} is an apocalyptic number.

222122121112122 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 222122121112122, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (289021192464384).

222122121112122 is an abundant number, since it is smaller than the sum of its proper divisors (355920263816646).

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

222122121112122 is a wasteful number, since it uses less digits than its factorization.

222122121112122 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3560364.

The product of its digits is 512, while the sum is 24.

Adding to 222122121112122 its reverse (221211121221222), we get a palindrome (443333242333344).

The spelling of 222122121112122 in words is "two hundred twenty-two trillion, one hundred twenty-two billion, one hundred twenty-one million, one hundred twelve thousand, one hundred twenty-two".