2022112211120 has 160 divisors (see below), whose sum is σ = 5121181152000. Its totient is φ = 739608468480.

The previous prime is 2022112211117. The next prime is 2022112211123. The reversal of 2022112211120 is 211122112202.

It is an interprime number because it is at equal distance from previous prime (2022112211117) and next prime (2022112211123).

It is not an unprimeable number, because it can be changed into a prime (2022112211123) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 187731335 + ... + 187742105.

It is an arithmetic number, because the mean of its divisors is an integer number (32007382200).

Almost surely, 2^{2022112211120} is an apocalyptic number.

2022112211120 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 2022112211120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2560590576000).

2022112211120 is an abundant number, since it is smaller than the sum of its proper divisors (3099068940880).

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

2022112211120 is a wasteful number, since it uses less digits than its factorization.

2022112211120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15091 (or 15085 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 17.

Adding to 2022112211120 its reverse (211122112202), we get a palindrome (2233234323322).

The spelling of 2022112211120 in words is "two trillion, twenty-two billion, one hundred twelve million, two hundred eleven thousand, one hundred twenty".