320214423322112 has 160 divisors (see below), whose sum is σ = 700023977097984. Its totient is φ = 145123710566400.

The previous prime is 320214423322111. The next prime is 320214423322141. The reversal of 320214423322112 is 211223324412023.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (320214423322111) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2877733037 + ... + 2877844307.

Almost surely, 2^{320214423322112} is an apocalyptic number.

320214423322112 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 320214423322112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (350011988548992).

320214423322112 is an abundant number, since it is smaller than the sum of its proper divisors (379809553775872).

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

320214423322112 is a wasteful number, since it uses less digits than its factorization.

320214423322112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 112800 (or 112784 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 32.

Adding to 320214423322112 its reverse (211223324412023), we get a palindrome (531437747734135).

The spelling of 320214423322112 in words is "three hundred twenty trillion, two hundred fourteen billion, four hundred twenty-three million, three hundred twenty-two thousand, one hundred twelve".