22120222120 has 64 divisors (see below), whose sum is σ = 51538032000. Its totient is φ = 8534469888.

The previous prime is 22120222109. The next prime is 22120222127. The reversal of 22120222120 is 2122202122.

It is a junction number, because it is equal to n+sod(n) for n = 22120222094 and 22120222103.

It is not an unprimeable number, because it can be changed into a prime (22120222127) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1224111 + ... + 1242049.

It is an arithmetic number, because the mean of its divisors is an integer number (805281750).

Almost surely, 2^22120222120 is an apocalyptic number.

22120222120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22120222120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25769016000).

22120222120 is an abundant number, since it is smaller than the sum of its proper divisors (29417809880).

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

22120222120 is a wasteful number, since it uses less digits than its factorization.

22120222120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19042 (or 19038 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 16.

Adding to 22120222120 its reverse (2122202122), we get a palindrome (24242424242).

The spelling of 22120222120 in words is "twenty-two billion, one hundred twenty million, two hundred twenty-two thousand, one hundred twenty".