320032013022000 has 480 divisors, whose sum is σ = 1143932810042880. Its totient is φ = 83344558348800.

The previous prime is 320032013021989. The next prime is 320032013022013. The reversal of 320032013022000 is 220310230023.

It is a happy number.

320032013022000 is a `hidden beast` number, since 3 + 20 + 0 + 320 + 1 + 302 + 20 + 0 + 0 = 666.

It is a super-3 number, since 3×320032013022000³ (a number of 44 digits) contains 333 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 5810390461 + ... + 5810445539.

It is an arithmetic number, because the mean of its divisors is an integer number (2383193354256).

Almost surely, 2^{320032013022000} is an apocalyptic number.

320032013022000 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 320032013022000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (571966405021440).

320032013022000 is an abundant number, since it is smaller than the sum of its proper divisors (823900797020880).

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

320032013022000 is a wasteful number, since it uses less digits than its factorization.

320032013022000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 62658 (or 62639 counting only the distinct ones).

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

Adding to 320032013022000 its reverse (220310230023), we get a palindrome (320252323252023).

The spelling of 320032013022000 in words is "three hundred twenty trillion, thirty-two billion, thirteen million, twenty-two thousand".