2022122211120 has 480 divisors, whose sum is σ = 7858000537920. Its totient is φ = 460558172160.

The previous prime is 2022122211073. The next prime is 2022122211121. The reversal of 2022122211120 is 211122212202.

It is a happy number.

2022122211120 is a `hidden beast` number, since 202 + 212 + 221 + 11 + 20 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 2022122211093 and 2022122211102.

It is not an unprimeable number, because it can be changed into a prime (2022122211121) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 77674266 + ... + 77700294.

It is an arithmetic number, because the mean of its divisors is an integer number (16370834454).

Almost surely, 2^{2022122211120} is an apocalyptic number.

2022122211120 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 2022122211120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3929000268960).

2022122211120 is an abundant number, since it is smaller than the sum of its proper divisors (5835878326800).

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

2022122211120 is a wasteful number, since it uses less digits than its factorization.

2022122211120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26653 (or 26644 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 2022122211120 its reverse (211122212202), we get a palindrome (2233244423322).

The spelling of 2022122211120 in words is "two trillion, twenty-two billion, one hundred twenty-two million, two hundred eleven thousand, one hundred twenty".