202221201220020 has 192 divisors, whose sum is σ = 639935712460800. Its totient is φ = 53000074327680.

The previous prime is 202221201219907. The next prime is 202221201220037. The reversal of 202221201220020 is 20022102122202.

202221201220020 is a `hidden beast` number, since 2 + 0 + 2 + 221 + 201 + 220 + 0 + 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 = 202221201219975 and 202221201220002.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 145577997 + ... + 146960523.

It is an arithmetic number, because the mean of its divisors is an integer number (3332998502400).

Almost surely, 2^{202221201220020} is an apocalyptic number.

202221201220020 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 202221201220020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (319967856230400).

202221201220020 is an abundant number, since it is smaller than the sum of its proper divisors (437714511240780).

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

202221201220020 is a wasteful number, since it uses less digits than its factorization.

202221201220020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1387195 (or 1387187 counting only the distinct ones).

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

Adding to 202221201220020 its reverse (20022102122202), we get a palindrome (222243303342222).

The spelling of 202221201220020 in words is "two hundred two trillion, two hundred twenty-one billion, two hundred one million, two hundred twenty thousand, twenty".