2022133313200 has 480 divisors, whose sum is σ = 6656048985600. Its totient is φ = 581786956800.

The previous prime is 2022133313113. The next prime is 2022133313219. The reversal of 2022133313200 is 23133312202.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 19568067 + ... + 19671133.

It is an arithmetic number, because the mean of its divisors is an integer number (13866768720).

Almost surely, 2^{2022133313200} is an apocalyptic number.

2022133313200 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 2022133313200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3328024492800).

2022133313200 is an abundant number, since it is smaller than the sum of its proper divisors (4633915672400).

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

2022133313200 is a wasteful number, since it uses less digits than its factorization.

2022133313200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 103130 (or 103105 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 22.

Adding to 2022133313200 its reverse (23133312202), we get a palindrome (2045266625402).

The spelling of 2022133313200 in words is "two trillion, twenty-two billion, one hundred thirty-three million, three hundred thirteen thousand, two hundred".