200221122220020 has 240 divisors, whose sum is σ = 685246632086016. Its totient is φ = 48535233696000.

The previous prime is 200221122220019. The next prime is 200221122220079. The reversal of 200221122220020 is 20022221122002.

200221122220020 is a `hidden beast` number, since 2 + 0 + 0 + 221 + 1 + 222 + 200 + 20 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 200221122219975 and 200221122220002.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 273902610 + ... + 274632630.

Almost surely, 2^{200221122220020} is an apocalyptic number.

200221122220020 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 200221122220020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (342623316043008).

200221122220020 is an abundant number, since it is smaller than the sum of its proper divisors (485025509865996).

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

200221122220020 is a wasteful number, since it uses less digits than its factorization.

200221122220020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 745444 (or 745433 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

Adding to 200221122220020 its reverse (20022221122002), we get a palindrome (220243343342022).

The spelling of 200221122220020 in words is "two hundred trillion, two hundred twenty-one billion, one hundred twenty-two million, two hundred twenty thousand, twenty".