22111122 has 64 divisors (see below), whose sum is σ = 50761728. Its totient is φ = 6360000.

The previous prime is 22111121. The next prime is 22111127.

22111122 is nontrivially palindromic in base 10.

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

It is a zygodrome in base 10.

It is a junction number, because it is equal to n+sod(n) for n = 22111098 and 22111107.

It is not an unprimeable number, because it can be changed into a prime (22111121) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 206593 + ... + 206699.

It is an arithmetic number, because the mean of its divisors is an integer number (793152).

Almost surely, 2^22111122 is an apocalyptic number.

22111122 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 22111122, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25380864).

22111122 is an abundant number, since it is smaller than the sum of its proper divisors (28650606).

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

22111122 is a wasteful number, since it uses less digits than its factorization.

22111122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 255.

The product of its digits is 16, while the sum is 12.

The square root of 22111122 is about 4702.2464843945. The cubic root of 22111122 is about 280.6749110055.

It can be divided in two parts, 2211 and 1122, that added together give a palindrome (3333).

The spelling of 22111122 in words is "twenty-two million, one hundred eleven thousand, one hundred twenty-two".