321213200 has 120 divisors (see below), whose sum is σ = 962230080. Its totient is φ = 100108800.

The previous prime is 321213199. The next prime is 321213203. The reversal of 321213200 is 2312123.

It is a happy number.

321213200 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is not an unprimeable number, because it can be changed into a prime (321213203) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 25586 + ... + 36014.

It is an arithmetic number, because the mean of its divisors is an integer number (8018584).

Almost surely, 2^321213200 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 321213200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (481115040).

321213200 is an abundant number, since it is smaller than the sum of its proper divisors (641016880).

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

321213200 is a wasteful number, since it uses less digits than its factorization.

321213200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10465 (or 10454 counting only the distinct ones).

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

The square root of 321213200 is about 17922.4217113648. The cubic root of 321213200 is about 684.8536814303.

Adding to 321213200 its reverse (2312123), we get a palindrome (323525323).

The spelling of 321213200 in words is "three hundred twenty-one million, two hundred thirteen thousand, two hundred".