2022211311120 has 960 divisors, whose sum is σ = 9364899608064. Its totient is φ = 377388564480.

The previous prime is 2022211311103. The next prime is 2022211311121. The reversal of 2022211311120 is 211131122202.

2022211311120 is a `hidden beast` number, since 2 + 0 + 22 + 211 + 311 + 120 = 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 = 2022211311093 and 2022211311102.

It is not an unprimeable number, because it can be changed into a prime (2022211311121) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 26628724 + ... + 26704556.

Almost surely, 2^{2022211311120} is an apocalyptic number.

2022211311120 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 2022211311120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4682449804032).

2022211311120 is an abundant number, since it is smaller than the sum of its proper divisors (7342688296944).

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

2022211311120 is a wasteful number, since it uses less digits than its factorization.

2022211311120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 75920 (or 75911 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

Adding to 2022211311120 its reverse (211131122202), we get a palindrome (2233342433322).

The spelling of 2022211311120 in words is "two trillion, twenty-two billion, two hundred eleven million, three hundred eleven thousand, one hundred twenty".