320011303413120 has 128 divisors (see below), whose sum is σ = 1112766577850880. Its totient is φ = 77578497792000.

The previous prime is 320011303413049. The next prime is 320011303413167. The reversal of 320011303413120 is 21314303110023.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×320011303413120² (a number of 30 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7576004056 + ... + 7576046295.

It is an arithmetic number, because the mean of its divisors is an integer number (8693488889460).

Almost surely, 2^{320011303413120} is an apocalyptic number.

320011303413120 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

320011303413120 is an abundant number, since it is smaller than the sum of its proper divisors (792755274437760).

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

320011303413120 is a wasteful number, since it uses less digits than its factorization.

320011303413120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15152050384 (or 15152050372 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 24.

Adding to 320011303413120 its reverse (21314303110023), we get a palindrome (341325606523143).

The spelling of 320011303413120 in words is "three hundred twenty trillion, eleven billion, three hundred three million, four hundred thirteen thousand, one hundred twenty".