320202223012320 has 384 divisors, whose sum is σ = 1111496628211200. Its totient is φ = 76840058880000.

The previous prime is 320202223012291. The next prime is 320202223012327. The reversal of 320202223012320 is 23210322202023.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (320202223012327) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 276786456 + ... + 277940904.

It is an arithmetic number, because the mean of its divisors is an integer number (2894522469300).

Almost surely, 2^{320202223012320} is an apocalyptic number.

320202223012320 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 320202223012320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (555748314105600).

320202223012320 is an abundant number, since it is smaller than the sum of its proper divisors (791294405198880).

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

320202223012320 is a wasteful number, since it uses less digits than its factorization.

320202223012320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1155010 (or 1155002 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 24.

Adding to 320202223012320 its reverse (23210322202023), we get a palindrome (343412545214343).

The spelling of 320202223012320 in words is "three hundred twenty trillion, two hundred two billion, two hundred twenty-three million, twelve thousand, three hundred twenty".