201224311200330 has 128 divisors (see below), whose sum is σ = 554620535009280. Its totient is φ = 46210013832960.

The previous prime is 201224311200313. The next prime is 201224311200337. The reversal of 201224311200330 is 33002113422102.

201224311200330 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×201224311200330³ (a number of 44 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 201224311200330.

It is not an unprimeable number, because it can be changed into a prime (201224311200337) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 68106559 + ... + 70999661.

It is an arithmetic number, because the mean of its divisors is an integer number (4332972929760).

Almost surely, 2^{201224311200330} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 201224311200330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (277310267504640).

201224311200330 is an abundant number, since it is smaller than the sum of its proper divisors (353396223808950).

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

201224311200330 is a wasteful number, since it uses less digits than its factorization.

201224311200330 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2904236.

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 201224311200330 its reverse (33002113422102), we get a palindrome (234226424622432).

The spelling of 201224311200330 in words is "two hundred one trillion, two hundred twenty-four billion, three hundred eleven million, two hundred thousand, three hundred thirty".