201221401320 has 48 divisors (see below), whose sum is σ = 653969555460. Its totient is φ = 53659040256.

The previous prime is 201221401291. The next prime is 201221401321. The reversal of 201221401320 is 23104122102.

It is a happy number.

201221401320 is a `hidden beast` number, since 20 + 1 + 221 + 401 + 3 + 20 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 184643808804 + 16577592516 = 429702^2 + 128754^2 .

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 = 201221401293 and 201221401302.

It is not an unprimeable number, because it can be changed into a prime (201221401321) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 279473809 + ... + 279474528.

Almost surely, 2^201221401320 is an apocalyptic number.

201221401320 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

201221401320 is an abundant number, since it is smaller than the sum of its proper divisors (452748154140).

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

201221401320 is a wasteful number, since it uses less digits than its factorization.

201221401320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 558948354 (or 558948347 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 201221401320 its reverse (23104122102), we get a palindrome (224325523422).

The spelling of 201221401320 in words is "two hundred one billion, two hundred twenty-one million, four hundred one thousand, three hundred twenty".