201221600 has 36 divisors (see below), whose sum is σ = 491234184. Its totient is φ = 80488320.

The previous prime is 201221591. The next prime is 201221623. The reversal of 201221600 is 6122102.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 124964 + ... + 126563.

It is an arithmetic number, because the mean of its divisors is an integer number (13645394).

Almost surely, 2^201221600 is an apocalyptic number.

201221600 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

201221600 is an abundant number, since it is smaller than the sum of its proper divisors (290012584).

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

201221600 is a wasteful number, since it uses less digits than its factorization.

201221600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 251547 (or 251534 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 14.

The square root of 201221600 is about 14185.2599553198. The cubic root of 201221600 is about 585.9917916745.

Adding to 201221600 its reverse (6122102), we get a palindrome (207343702).

The spelling of 201221600 in words is "two hundred one million, two hundred twenty-one thousand, six hundred".