321204103343200 has 1152 divisors, whose sum is σ = 1001182320230400. Its totient is φ = 97730426880000.

The previous prime is 321204103343197. The next prime is 321204103343273. The reversal of 321204103343200 is 2343301402123.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 534449422900 + ... + 534449423500.

It is an arithmetic number, because the mean of its divisors is an integer number (869081875200).

Almost surely, 2^{321204103343200} 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 321204103343200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (500591160115200).

321204103343200 is an abundant number, since it is smaller than the sum of its proper divisors (679978216887200).

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

321204103343200 is a wasteful number, since it uses less digits than its factorization.

321204103343200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1484 (or 1471 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 28.

Adding to 321204103343200 its reverse (2343301402123), we get a palindrome (323547404745323).

The spelling of 321204103343200 in words is "three hundred twenty-one trillion, two hundred four billion, one hundred three million, three hundred forty-three thousand, two hundred".