20210222001200 has 960 divisors, whose sum is σ = 68639172526080. Its totient is φ = 5524028928000.

The previous prime is 20210222001199. The next prime is 20210222001227. The reversal of 20210222001200 is 210022201202.

It is a Harshad number since it is a multiple of its sum of digits (14).

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 191 ways as a sum of consecutive naturals, for example, 417223382 + ... + 417271818.

It is an arithmetic number, because the mean of its divisors is an integer number (71499138048).

Almost surely, 2^{20210222001200} is an apocalyptic number.

20210222001200 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 20210222001200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34319586263040).

20210222001200 is an abundant number, since it is smaller than the sum of its proper divisors (48428950524880).

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

20210222001200 is a wasteful number, since it uses less digits than its factorization.

20210222001200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48546 (or 48535 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 14.

Adding to 20210222001200 its reverse (210022201202), we get a palindrome (20420244202402).

The spelling of 20210222001200 in words is "twenty trillion, two hundred ten billion, two hundred twenty-two million, one thousand, two hundred".