201221131122320 has 20 divisors (see below), whose sum is σ = 467839129859580. Its totient is φ = 80488452448896.

The previous prime is 201221131122301. The next prime is 201221131122383. The reversal of 201221131122320 is 23221131122102.

It can be written as a sum of positive squares in 2 ways, for example, as 78234095760016 + 122987035362304 = 8845004^2 + 11089952^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is a super-2 number, since 2×201221131122320² (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1257632069435 + ... + 1257632069594.

It is an arithmetic number, because the mean of its divisors is an integer number (23391956492979).

Almost surely, 2^{201221131122320} is an apocalyptic number.

201221131122320 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

201221131122320 is an abundant number, since it is smaller than the sum of its proper divisors (266617998737260).

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

201221131122320 is a wasteful number, since it uses less digits than its factorization.

201221131122320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2515264139042 (or 2515264139036 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 23.

Adding to 201221131122320 its reverse (23221131122102), we get a palindrome (224442262244422).

The spelling of 201221131122320 in words is "two hundred one trillion, two hundred twenty-one billion, one hundred thirty-one million, one hundred twenty-two thousand, three hundred twenty".