320120211312 has 480 divisors, whose sum is σ = 1019828601792. Its totient is φ = 92897280000.

The previous prime is 320120211289. The next prime is 320120211347. The reversal of 320120211312 is 213112021023.

320120211312 is a `hidden beast` number, since 3 + 20 + 120 + 211 + 312 = 666.

It is a super-2 number, since 2×320120211312² (a number of 24 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1328299512 + ... + 1328299752.

Almost surely, 2^320120211312 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 320120211312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (509914300896).

320120211312 is an abundant number, since it is smaller than the sum of its proper divisors (699708390480).

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

320120211312 is a wasteful number, since it uses less digits than its factorization.

320120211312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 601 (or 592 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 320120211312 its reverse (213112021023), we get a palindrome (533232232335).

The spelling of 320120211312 in words is "three hundred twenty billion, one hundred twenty million, two hundred eleven thousand, three hundred twelve".