220221022220020 has 24 divisors (see below), whose sum is σ = 474963177654504. Its totient is φ = 85707641079936.

The previous prime is 220221022219969. The next prime is 220221022220053. The reversal of 220221022220020 is 20022220122022.

220221022220020 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 137692482251536 + 82528539968484 = 11734244^2 + 9084522^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 220221022220020.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 148797987247 + ... + 148797988726.

It is an arithmetic number, because the mean of its divisors is an integer number (19790132402271).

Almost surely, 2^{220221022220020} is an apocalyptic number.

220221022220020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

220221022220020 is an abundant number, since it is smaller than the sum of its proper divisors (254742155434484).

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

220221022220020 is a wasteful number, since it uses less digits than its factorization.

220221022220020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 297595976019 (or 297595976017 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 19.

Adding to 220221022220020 its reverse (20022220122022), we get a palindrome (240243242342042).

The spelling of 220221022220020 in words is "two hundred twenty trillion, two hundred twenty-one billion, twenty-two million, two hundred twenty thousand, twenty".