201221200120 has 64 divisors (see below), whose sum is σ = 477165628800. Its totient is φ = 76157988480.

The previous prime is 201221200091. The next prime is 201221200151. The reversal of 201221200120 is 21002122102.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 201221200120.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 453127 + ... + 779593.

It is an arithmetic number, because the mean of its divisors is an integer number (7455712950).

Almost surely, 2^201221200120 is an apocalyptic number.

201221200120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 201221200120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (238582814400).

201221200120 is an abundant number, since it is smaller than the sum of its proper divisors (275944428680).

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

201221200120 is a wasteful number, since it uses less digits than its factorization.

201221200120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 327308 (or 327304 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 13.

Adding to 201221200120 its reverse (21002122102), we get a palindrome (222223322222).

The spelling of 201221200120 in words is "two hundred one billion, two hundred twenty-one million, two hundred thousand, one hundred twenty".