2022443421200 has 240 divisors, whose sum is σ = 5000762081040. Its totient is φ = 785791549440.

The previous prime is 2022443421199. The next prime is 2022443421211. The reversal of 2022443421200 is 21243442202.

It can be written as a sum of positive squares in 24 ways, for example, as 1073229697024 + 949213724176 = 1035968^2 + 974276^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 2022443421200.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 550622564 + ... + 550626236.

It is an arithmetic number, because the mean of its divisors is an integer number (20836508671).

Almost surely, 2^{2022443421200} is an apocalyptic number.

2022443421200 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 2022443421200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2500381040520).

2022443421200 is an abundant number, since it is smaller than the sum of its proper divisors (2978318659840).

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

2022443421200 is a wasteful number, since it uses less digits than its factorization.

2022443421200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4046 (or 4035 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 26.

Adding to 2022443421200 its reverse (21243442202), we get a palindrome (2043686863402).

The spelling of 2022443421200 in words is "two trillion, twenty-two billion, four hundred forty-three million, four hundred twenty-one thousand, two hundred".