201221120 has 44 divisors (see below), whose sum is σ = 482707164. Its totient is φ = 80486400.

The previous prime is 201221113. The next prime is 201221143. The reversal of 201221120 is 21122102.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 65545216 + 135675904 = 8096^2 + 11648^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 14531 + ... + 24770.

Almost surely, 2^201221120 is an apocalyptic number.

201221120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

201221120 is an abundant number, since it is smaller than the sum of its proper divisors (281486044).

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

201221120 is an equidigital number, since it uses as much as digits as its factorization.

201221120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39326 (or 39308 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 11.

The square root of 201221120 is about 14185.2430363389. The cubic root of 201221120 is about 585.9913257267.

Adding to 201221120 its reverse (21122102), we get a palindrome (222343222).

It can be divided in two parts, 2012 and 21120, that added together give a palindrome (23132).

The spelling of 201221120 in words is "two hundred one million, two hundred twenty-one thousand, one hundred twenty".