20221022120200 has 192 divisors, whose sum is σ = 51601428457920. Its totient is φ = 7308254208000.

The previous prime is 20221022120177. The next prime is 20221022120213. The reversal of 20221022120200 is 202122012202.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 296110060 + ... + 296178340.

It is an arithmetic number, because the mean of its divisors is an integer number (268757439885).

Almost surely, 2^{20221022120200} is an apocalyptic number.

20221022120200 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 20221022120200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25800714228960).

20221022120200 is an abundant number, since it is smaller than the sum of its proper divisors (31380406337720).

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

20221022120200 is a wasteful number, since it uses less digits than its factorization.

20221022120200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 69128 (or 69119 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 16.

Adding to 20221022120200 its reverse (202122012202), we get a palindrome (20423144132402).

The spelling of 20221022120200 in words is "twenty trillion, two hundred twenty-one billion, twenty-two million, one hundred twenty thousand, two hundred".