22211111111120 has 20 divisors (see below), whose sum is σ = 51640833333540. Its totient is φ = 8884444444416.

The previous prime is 22211111111081. The next prime is 22211111111129. The reversal of 22211111111120 is 2111111111222.

It can be written as a sum of positive squares in 2 ways, for example, as 8265786000784 + 13945325110336 = 2875028^2 + 3734344^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22211111111129) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 138819444365 + ... + 138819444524.

It is an arithmetic number, because the mean of its divisors is an integer number (2582041666677).

Almost surely, 2^{22211111111120} is an apocalyptic number.

22211111111120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22211111111120 is an abundant number, since it is smaller than the sum of its proper divisors (29429722222420).

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

22211111111120 is a wasteful number, since it uses less digits than its factorization.

22211111111120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 277638888902 (or 277638888896 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 17.

Adding to 22211111111120 its reverse (2111111111222), we get a palindrome (24322222222342).

It can be divided in two parts, 2 and 2211111111120, that added together give a palindrome (2211111111122).

The spelling of 22211111111120 in words is "twenty-two trillion, two hundred eleven billion, one hundred eleven million, one hundred eleven thousand, one hundred twenty".