320033123414312 has 128 divisors (see below), whose sum is σ = 755185691197440. Its totient is φ = 123515213230080.

The previous prime is 320033123414297. The next prime is 320033123414327. The reversal of 320033123414312 is 213414321330023.

It is an interprime number because it is at equal distance from previous prime (320033123414297) and next prime (320033123414327).

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 31 ways as a sum of consecutive naturals, for example, 47454728 + ... + 53777480.

It is an arithmetic number, because the mean of its divisors is an integer number (5899888212480).

Almost surely, 2^{320033123414312} 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 320033123414312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (377592845598720).

320033123414312 is an abundant number, since it is smaller than the sum of its proper divisors (435152567783128).

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

320033123414312 is a wasteful number, since it uses less digits than its factorization.

320033123414312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6323551 (or 6323547 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 32.

Adding to 320033123414312 its reverse (213414321330023), we get a palindrome (533447444744335).

The spelling of 320033123414312 in words is "three hundred twenty trillion, thirty-three billion, one hundred twenty-three million, four hundred fourteen thousand, three hundred twelve".