22022112221120 has 448 divisors, whose sum is σ = 59229418752000. Its totient is φ = 7729606656000.

The previous prime is 22022112221071. The next prime is 22022112221129. The reversal of 22022112221120 is 2112221122022.

22022112221120 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 22022112221092 and 22022112221101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22022112221129) 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 63 ways as a sum of consecutive naturals, for example, 5827495391 + ... + 5827499169.

It is an arithmetic number, because the mean of its divisors is an integer number (132208524000).

Almost surely, 2^{22022112221120} is an apocalyptic number.

22022112221120 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 22022112221120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29614709376000).

22022112221120 is an abundant number, since it is smaller than the sum of its proper divisors (37207306530880).

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

22022112221120 is a wasteful number, since it uses less digits than its factorization.

22022112221120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4268 (or 4258 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 20.

Adding to 22022112221120 its reverse (2112221122022), we get a palindrome (24134333343142).

The spelling of 22022112221120 in words is "twenty-two trillion, twenty-two billion, one hundred twelve million, two hundred twenty-one thousand, one hundred twenty".