320311132231200 has 288 divisors, whose sum is σ = 1163846778538752. Its totient is φ = 75845341824000.

The previous prime is 320311132231081. The next prime is 320311132231201. The reversal of 320311132231200 is 2132231113023.

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 (320311132231201) 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 47 ways as a sum of consecutive naturals, for example, 139946166 + ... + 142216565.

It is an arithmetic number, because the mean of its divisors is an integer number (4041134647704).

Almost surely, 2^{320311132231200} is an apocalyptic number.

320311132231200 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

320311132231200 is an abundant number, since it is smaller than the sum of its proper divisors (843535646307552).

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

320311132231200 is a wasteful number, since it uses less digits than its factorization.

320311132231200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 282162808 (or 282162795 counting only the distinct ones).

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

Adding to 320311132231200 its reverse (2132231113023), we get a palindrome (322443363344223).

The spelling of 320311132231200 in words is "three hundred twenty trillion, three hundred eleven billion, one hundred thirty-two million, two hundred thirty-one thousand, two hundred".