22022120320200 has 2304 divisors, whose sum is σ = 101292116889600. Its totient is φ = 4140182937600.

The previous prime is 22022120320147. The next prime is 22022120320217. The reversal of 22022120320200 is 202302122022.

22022120320200 is a `hidden beast` number, since 2 + 2 + 0 + 22 + 120 + 320 + 200 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 19857637246 + ... + 19857638354.

It is an arithmetic number, because the mean of its divisors is an integer number (43963592400).

Almost surely, 2^{22022120320200} is an apocalyptic number.

22022120320200 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 22022120320200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50646058444800).

22022120320200 is an abundant number, since it is smaller than the sum of its proper divisors (79269996569400).

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

22022120320200 is a wasteful number, since it uses less digits than its factorization.

22022120320200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1372 (or 1360 counting only the distinct ones).

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

Adding to 22022120320200 its reverse (202302122022), we get a palindrome (22224422442222).

The spelling of 22022120320200 in words is "twenty-two trillion, twenty-two billion, one hundred twenty million, three hundred twenty thousand, two hundred".