320001232200000 has 672 divisors, whose sum is σ = 1140106644254592. Its totient is φ = 78739706880000.

The previous prime is 320001232199963. The next prime is 320001232200007. The reversal of 320001232200000 is 2232100023.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (320001232200007) by changing a digit.

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, 26309393919 + ... + 26309406081.

It is an arithmetic number, because the mean of its divisors is an integer number (1696587268236).

Almost surely, 2^{320001232200000} is an apocalyptic number.

320001232200000 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 320001232200000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (570053322127296).

320001232200000 is an abundant number, since it is smaller than the sum of its proper divisors (820105412054592).

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

320001232200000 is a wasteful number, since it uses less digits than its factorization.

320001232200000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15589 (or 15559 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 15.

Adding to 320001232200000 its reverse (2232100023), we get a palindrome (320003464300023).

The spelling of 320001232200000 in words is "three hundred twenty trillion, one billion, two hundred thirty-two million, two hundred thousand".