321204422321200 has 480 divisors, whose sum is σ = 922521290304960. Its totient is φ = 106092272025600.

The previous prime is 321204422321191. The next prime is 321204422321219. The reversal of 321204422321200 is 2123224402123.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4973943312 + ... + 4974007888.

It is an arithmetic number, because the mean of its divisors is an integer number (1921919354802).

Almost surely, 2^{321204422321200} 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 321204422321200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (461260645152480).

321204422321200 is an abundant number, since it is smaller than the sum of its proper divisors (601316867983760).

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

321204422321200 is a wasteful number, since it uses less digits than its factorization.

321204422321200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 66945 (or 66934 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 28.

Adding to 321204422321200 its reverse (2123224402123), we get a palindrome (323327646723323).

The spelling of 321204422321200 in words is "three hundred twenty-one trillion, two hundred four billion, four hundred twenty-two million, three hundred twenty-one thousand, two hundred".