321213111313200 has 480 divisors, whose sum is σ = 1087465223485440. Its totient is φ = 80881773772800.

The previous prime is 321213111313151. The next prime is 321213111313201. The reversal of 321213111313200 is 2313111312123.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (321213111313201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 20759580664 + ... + 20759596136.

It is an arithmetic number, because the mean of its divisors is an integer number (2265552548928).

Almost surely, 2^{321213111313200} is an apocalyptic number.

321213111313200 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 321213111313200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (543732611742720).

321213111313200 is an abundant number, since it is smaller than the sum of its proper divisors (766252112172240).

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

321213111313200 is a wasteful number, since it uses less digits than its factorization.

321213111313200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25117 (or 25106 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 24.

Adding to 321213111313200 its reverse (2313111312123), we get a palindrome (323526222625323).

The spelling of 321213111313200 in words is "three hundred twenty-one trillion, two hundred thirteen billion, one hundred eleven million, three hundred thirteen thousand, two hundred".