330112102020200 has 192 divisors, whose sum is σ = 784504538496000. Its totient is φ = 129154427043840.

The previous prime is 330112102020187. The next prime is 330112102020247. The reversal of 330112102020200 is 2020201211033.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3762217529 + ... + 3762305271.

It is an arithmetic number, because the mean of its divisors is an integer number (4085961138000).

Almost surely, 2^{330112102020200} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 330112102020200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (392252269248000).

330112102020200 is an abundant number, since it is smaller than the sum of its proper divisors (454392436475800).

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

330112102020200 is a wasteful number, since it uses less digits than its factorization.

330112102020200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 90124 (or 90115 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 17.

Adding to 330112102020200 its reverse (2020201211033), we get a palindrome (332132303231233).

The spelling of 330112102020200 in words is "three hundred thirty trillion, one hundred twelve billion, one hundred two million, twenty thousand, two hundred".