222122112 has 64 divisors (see below), whose sum is σ = 591926400. Its totient is φ = 73800704.

The previous prime is 222122081. The next prime is 222122149. The reversal of 222122112 is 211221222.

It is a tau number, because it is divible by the number of its divisors (64).

It is a nude number because it is divisible by every one of its digits and also a Zuckerman number because it is divisible by the product of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 222122091 and 222122100.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 148633 + ... + 150119.

It is an arithmetic number, because the mean of its divisors is an integer number (9248850).

Almost surely, 2^222122112 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 222122112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (295963200).

222122112 is an abundant number, since it is smaller than the sum of its proper divisors (369804288).

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

222122112 is a wasteful number, since it uses less digits than its factorization.

222122112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1893 (or 1881 counting only the distinct ones).

The product of its digits is 64, while the sum is 15.

The square root of 222122112 is about 14903.7616728127. The cubic root of 222122112 is about 605.6158944423.

Adding to 222122112 its reverse (211221222), we get a palindrome (433343334).

The spelling of 222122112 in words is "two hundred twenty-two million, one hundred twenty-two thousand, one hundred twelve".