320241113103120 has 640 divisors, whose sum is σ = 1156657397760000. Its totient is φ = 72474422630400.

The previous prime is 320241113103091. The next prime is 320241113103127. The reversal of 320241113103120 is 21301311142023.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (320241113103127) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 7119136149 + ... + 7119181131.

It is an arithmetic number, because the mean of its divisors is an integer number (1807277184000).

Almost surely, 2^{320241113103120} is an apocalyptic number.

320241113103120 is a gapful number since it is divisible by the number (30) 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 320241113103120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (578328698880000).

320241113103120 is an abundant number, since it is smaller than the sum of its proper divisors (836416284656880).

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

320241113103120 is a wasteful number, since it uses less digits than its factorization.

320241113103120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 47099 (or 47093 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 24.

Adding to 320241113103120 its reverse (21301311142023), we get a palindrome (341542424245143).

The spelling of 320241113103120 in words is "three hundred twenty trillion, two hundred forty-one billion, one hundred thirteen million, one hundred three thousand, one hundred twenty".