2022202112000 has 384 divisors, whose sum is σ = 5780411320320. Its totient is φ = 691723468800.

The previous prime is 2022202111981. The next prime is 2022202112039. The reversal of 2022202112000 is 2112022202.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 980222969 + ... + 980225031.

It is an arithmetic number, because the mean of its divisors is an integer number (15053154480).

Almost surely, 2^{2022202112000} is an apocalyptic number.

2022202112000 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 2022202112000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2890205660160).

2022202112000 is an abundant number, since it is smaller than the sum of its proper divisors (3758209208320).

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

2022202112000 is an equidigital number, since it uses as much as digits as its factorization.

2022202112000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2654 (or 2624 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 14.

Adding to 2022202112000 its reverse (2112022202), we get a palindrome (2024314134202).

The spelling of 2022202112000 in words is "two trillion, twenty-two billion, two hundred two million, one hundred twelve thousand".