2022134200200 has 576 divisors, whose sum is σ = 7577093160000. Its totient is φ = 480285573120.

The previous prime is 2022134200189. The next prime is 2022134200211. The reversal of 2022134200200 is 20024312202.

2022134200200 is a `hidden beast` number, since 2 + 0 + 221 + 3 + 420 + 0 + 20 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (2022134200189) and next prime (2022134200211).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 963378751 + ... + 963380849.

It is an arithmetic number, because the mean of its divisors is an integer number (13154675625).

Almost surely, 2^{2022134200200} is an apocalyptic number.

2022134200200 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 2022134200200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3788546580000).

2022134200200 is an abundant number, since it is smaller than the sum of its proper divisors (5554958959800).

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

2022134200200 is a wasteful number, since it uses less digits than its factorization.

2022134200200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3814 (or 3802 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

Adding to 2022134200200 its reverse (20024312202), we get a palindrome (2042158512402).

The spelling of 2022134200200 in words is "two trillion, twenty-two billion, one hundred thirty-four million, two hundred thousand, two hundred".