320320010112 has 256 divisors, whose sum is σ = 942743992320. Its totient is φ = 95914229760.

The previous prime is 320320010107. The next prime is 320320010113. The reversal of 320320010112 is 211010023023.

It is a junction number, because it is equal to n+sod(n) for n = 320320010091 and 320320010100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (320320010113) 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, 14762023 + ... + 14783705.

It is an arithmetic number, because the mean of its divisors is an integer number (3682593720).

Almost surely, 2^320320010112 is an apocalyptic number.

320320010112 is a gapful number since it is divisible by the number (32) 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 320320010112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (471371996160).

320320010112 is an abundant number, since it is smaller than the sum of its proper divisors (622423982208).

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

320320010112 is a wasteful number, since it uses less digits than its factorization.

320320010112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21821 (or 21809 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

Adding to 320320010112 its reverse (211010023023), we get a palindrome (531330033135).

The spelling of 320320010112 in words is "three hundred twenty billion, three hundred twenty million, ten thousand, one hundred twelve".