202221211221220 has 24 divisors (see below), whose sum is σ = 426820201154424. Its totient is φ = 80477883042816.

The previous prime is 202221211221157. The next prime is 202221211221247. The reversal of 202221211221220 is 22122112122202.

It can be written as a sum of positive squares in 4 ways, for example, as 24002395802176 + 178218815419044 = 4899224^2 + 13349862^2 .

It is a junction number, because it is equal to n+sod(n) for n = 202221211221191 and 202221211221200.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 25662586317 + ... + 25662594196.

It is an arithmetic number, because the mean of its divisors is an integer number (17784175048101).

Almost surely, 2^{202221211221220} is an apocalyptic number.

202221211221220 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

202221211221220 is an abundant number, since it is smaller than the sum of its proper divisors (224598989933204).

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

202221211221220 is a wasteful number, since it uses less digits than its factorization.

202221211221220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 51325180719 (or 51325180717 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 22.

Adding to 202221211221220 its reverse (22122112122202), we get a palindrome (224343323343422).

The spelling of 202221211221220 in words is "two hundred two trillion, two hundred twenty-one billion, two hundred eleven million, two hundred twenty-one thousand, two hundred twenty".