320121141332304 has 160 divisors (see below), whose sum is σ = 893029026484224. Its totient is φ = 98229501849600.

The previous prime is 320121141332303. The next prime is 320121141332339. The reversal of 320121141332304 is 403233141121023.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (320121141332303) by changing a digit.

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, 2040196254 + ... + 2040353154.

Almost surely, 2^{320121141332304} 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 320121141332304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (446514513242112).

320121141332304 is an abundant number, since it is smaller than the sum of its proper divisors (572907885151920).

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

320121141332304 is a wasteful number, since it uses less digits than its factorization.

320121141332304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 165845 (or 165839 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 30.

Adding to 320121141332304 its reverse (403233141121023), we get a palindrome (723354282453327).

The spelling of 320121141332304 in words is "three hundred twenty trillion, one hundred twenty-one billion, one hundred forty-one million, three hundred thirty-two thousand, three hundred four".