202221212020000 has 240 divisors, whose sum is σ = 500847439359960. Its totient is φ = 80344221696000.

The previous prime is 202221212019989. The next prime is 202221212020039. The reversal of 202221212020000 is 20212122202.

It can be written as a sum of positive squares in 20 ways, for example, as 75981695695504 + 126239516324496 = 8716748^2 + 11235636^2 .

It is a Harshad number since it is a multiple of its sum of digits (16).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 3698712664 + ... + 3698767336.

Almost surely, 2^{202221212020000} is an apocalyptic number.

202221212020000 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 202221212020000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (250423719679980).

202221212020000 is an abundant number, since it is smaller than the sum of its proper divisors (298626227339960).

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

202221212020000 is a wasteful number, since it uses less digits than its factorization.

202221212020000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 55945 (or 55922 counting only the distinct ones).

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

Adding to 202221212020000 its reverse (20212122202), we get a palindrome (202241424142202).

The spelling of 202221212020000 in words is "two hundred two trillion, two hundred twenty-one billion, two hundred twelve million, twenty thousand".