320103322000000 has 1344 divisors, whose sum is σ = 1006881068007360. Its totient is φ = 99221760000000.

The previous prime is 320103321999959. The next prime is 320103322000093. The reversal of 320103322000000 is 223301023.

It is a super-2 number, since 2×320103322000000² (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is an unprimeable number.

It is a polite number, since it can be written in 167 ways as a sum of consecutive naturals, for example, 394701999595 + ... + 394702000405.

It is an arithmetic number, because the mean of its divisors is an integer number (749167461315).

Almost surely, 2^{320103322000000} 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 320103322000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (503440534003680).

320103322000000 is an abundant number, since it is smaller than the sum of its proper divisors (686777746007360).

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

320103322000000 is an frugal number, since it uses more digits than its factorization.

320103322000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1117 (or 1069 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 16.

Adding to 320103322000000 its reverse (223301023), we get a palindrome (320103545301023).

The spelling of 320103322000000 in words is "three hundred twenty trillion, one hundred three billion, three hundred twenty-two million", and thus it is an aban number.