201241212224 has 56 divisors (see below), whose sum is σ = 434888594280. Its totient is φ = 91836923904.

The previous prime is 201241212223. The next prime is 201241212353. The reversal of 201241212224 is 422212142102.

201241212224 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 15625000000 + 185616212224 = 125000^2 + 430832^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 201241212224.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (201241212223) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1284809 + ... + 1432904.

It is an arithmetic number, because the mean of its divisors is an integer number (7765867755).

Almost surely, 2^201241212224 is an apocalyptic number.

It is an amenable number.

201241212224 is an abundant number, since it is smaller than the sum of its proper divisors (233647382056).

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

201241212224 is a wasteful number, since it uses less digits than its factorization.

201241212224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2717827 (or 2717817 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 23.

Adding to 201241212224 its reverse (422212142102), we get a palindrome (623453354326).

The spelling of 201241212224 in words is "two hundred one billion, two hundred forty-one million, two hundred twelve thousand, two hundred twenty-four".