320103224000 has 224 divisors, whose sum is σ = 908606215296. Its totient is φ = 109432012800.

The previous prime is 320103223961. The next prime is 320103224009. The reversal of 320103224000 is 422301023.

It is a tau number, because it is divible by the number of its divisors (224).

It is a self number, because there is not a number n which added to its sum of digits gives 320103224000.

It is not an unprimeable number, because it can be changed into a prime (320103224009) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 19759904 + ... + 19776096.

Almost surely, 2^320103224000 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 320103224000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (454303107648).

320103224000 is an abundant number, since it is smaller than the sum of its proper divisors (588502991296).

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

320103224000 is a wasteful number, since it uses less digits than its factorization.

320103224000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16580 (or 16560 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 17.

Adding to 320103224000 its reverse (422301023), we get a palindrome (320525525023).

The spelling of 320103224000 in words is "three hundred twenty billion, one hundred three million, two hundred twenty-four thousand".