320023032120 has 384 divisors, whose sum is σ = 1197299750400. Its totient is φ = 73316275200.

The previous prime is 320023032071. The next prime is 320023032163. The reversal of 320023032120 is 21230320023.

It is a happy number.

320023032120 is a `hidden beast` number, since 320 + 0 + 2 + 3 + 0 + 321 + 20 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 320023032093 and 320023032102.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 31670989 + ... + 31681091.

It is an arithmetic number, because the mean of its divisors is an integer number (3117968100).

Almost surely, 2^320023032120 is an apocalyptic number.

320023032120 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 320023032120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (598649875200).

320023032120 is an abundant number, since it is smaller than the sum of its proper divisors (877276718280).

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

320023032120 is a wasteful number, since it uses less digits than its factorization.

320023032120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10571 (or 10564 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 18.

Adding to 320023032120 its reverse (21230320023), we get a palindrome (341253352143).

The spelling of 320023032120 in words is "three hundred twenty billion, twenty-three million, thirty-two thousand, one hundred twenty".