331221200 has 120 divisors (see below), whose sum is σ = 856320192. Its totient is φ = 122664960.

The previous prime is 331221199. The next prime is 331221203. The reversal of 331221200 is 2122133.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (331221203) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 455237 + ... + 455963.

Almost surely, 2^331221200 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 331221200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (428160096).

331221200 is an abundant number, since it is smaller than the sum of its proper divisors (525098992).

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

331221200 is a wasteful number, since it uses less digits than its factorization.

331221200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 829 (or 818 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 14.

The square root of 331221200 is about 18199.4835091549. The cubic root of 331221200 is about 691.8936987972.

Adding to 331221200 its reverse (2122133), we get a palindrome (333343333).

The spelling of 331221200 in words is "three hundred thirty-one million, two hundred twenty-one thousand, two hundred".