323312121312 has 192 divisors, whose sum is σ = 875888064576. Its totient is φ = 104376729600.

The previous prime is 323312121281. The next prime is 323312121313. The reversal of 323312121312 is 213121213323.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (323312121313) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 222512778 + ... + 222514230.

It is an arithmetic number, because the mean of its divisors is an integer number (4561917003).

Almost surely, 2^323312121312 is an apocalyptic number.

323312121312 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 323312121312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (437944032288).

323312121312 is an abundant number, since it is smaller than the sum of its proper divisors (552575943264).

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

323312121312 is a wasteful number, since it uses less digits than its factorization.

323312121312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2053 (or 2045 counting only the distinct ones).

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

Adding to 323312121312 its reverse (213121213323), we get a palindrome (536433334635).

The spelling of 323312121312 in words is "three hundred twenty-three billion, three hundred twelve million, one hundred twenty-one thousand, three hundred twelve".