320013122220 has 192 divisors, whose sum is σ = 1086414336000. Its totient is φ = 77556856320.

The previous prime is 320013122197. The next prime is 320013122263. The reversal of 320013122220 is 22221310023.

320013122220 is a `hidden beast` number, since 320 + 0 + 1 + 3 + 122 + 220 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 320013122193 and 320013122202.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 32362117 + ... + 32372003.

It is an arithmetic number, because the mean of its divisors is an integer number (5658408000).

Almost surely, 2^320013122220 is an apocalyptic number.

320013122220 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 320013122220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (543207168000).

320013122220 is an abundant number, since it is smaller than the sum of its proper divisors (766401213780).

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

320013122220 is a wasteful number, since it uses less digits than its factorization.

320013122220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15365 (or 15357 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 320013122220 its reverse (22221310023), we get a palindrome (342234432243).

The spelling of 320013122220 in words is "three hundred twenty billion, thirteen million, one hundred twenty-two thousand, two hundred twenty".