320012133312 has 224 divisors, whose sum is σ = 922475615040. Its totient is φ = 97497907200.

The previous prime is 320012133281. The next prime is 320012133313. The reversal of 320012133312 is 213331210023.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (320012133313) 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, 72579364 + ... + 72583772.

It is an arithmetic number, because the mean of its divisors is an integer number (4118194710).

Almost surely, 2^320012133312 is an apocalyptic number.

320012133312 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 320012133312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (461237807520).

320012133312 is an abundant number, since it is smaller than the sum of its proper divisors (602463481728).

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

320012133312 is a wasteful number, since it uses less digits than its factorization.

320012133312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5079 (or 5069 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 21.

Adding to 320012133312 its reverse (213331210023), we get a palindrome (533343343335).

The spelling of 320012133312 in words is "three hundred twenty billion, twelve million, one hundred thirty-three thousand, three hundred twelve".