323121211311232 has 256 divisors, whose sum is σ = 662912444113920. Its totient is φ = 156840657408000.

The previous prime is 323121211311169. The next prime is 323121211311277. The reversal of 323121211311232 is 232113112121323.

It is a self number, because there is not a number n which added to its sum of digits gives 323121211311232.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 77729420898 + ... + 77729425054.

It is an arithmetic number, because the mean of its divisors is an integer number (2589501734820).

Almost surely, 2^{323121211311232} is an apocalyptic number.

323121211311232 is a gapful number since it is divisible by the number (32) 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 323121211311232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (331456222056960).

323121211311232 is an abundant number, since it is smaller than the sum of its proper divisors (339791232802688).

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

323121211311232 is a wasteful number, since it uses less digits than its factorization.

323121211311232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4891 (or 4879 counting only the distinct ones).

The product of its digits is 2592, while the sum is 28.

Adding to 323121211311232 its reverse (232113112121323), we get a palindrome (555234323432555).

The spelling of 323121211311232 in words is "three hundred twenty-three trillion, one hundred twenty-one billion, two hundred eleven million, three hundred eleven thousand, two hundred thirty-two".