330120223221200 has 120 divisors (see below), whose sum is σ = 803265185297280. Its totient is φ = 130358424268800.

The previous prime is 330120223221193. The next prime is 330120223221209. The reversal of 330120223221200 is 2122322021033.

It is a super-2 number, since 2×330120223221200² (a number of 30 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (330120223221209) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 227143232 + ... + 228591968.

It is an arithmetic number, because the mean of its divisors is an integer number (6693876544144).

Almost surely, 2^{330120223221200} 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 330120223221200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (401632592648640).

330120223221200 is an abundant number, since it is smaller than the sum of its proper divisors (473144962076080).

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

330120223221200 is a wasteful number, since it uses less digits than its factorization.

330120223221200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1456045 (or 1456034 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 23.

Adding to 330120223221200 its reverse (2122322021033), we get a palindrome (332242545242233).

The spelling of 330120223221200 in words is "three hundred thirty trillion, one hundred twenty billion, two hundred twenty-three million, two hundred twenty-one thousand, two hundred".