323313313212120 has 2304 divisors, whose sum is σ = 1337523831705600. Its totient is φ = 61702750771200.

The previous prime is 323313313212053. The next prime is 323313313212173. The reversal of 323313313212120 is 21212313313323.

It is a super-2 number, since 2×323313313212120² (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 198717462747 + ... + 198717464373.

It is an arithmetic number, because the mean of its divisors is an integer number (580522496400).

Almost surely, 2^{323313313212120} is an apocalyptic number.

323313313212120 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 323313313212120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (668761915852800).

323313313212120 is an abundant number, since it is smaller than the sum of its proper divisors (1014210518493480).

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

323313313212120 is a wasteful number, since it uses less digits than its factorization.

323313313212120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1890 (or 1848 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 30.

Adding to 323313313212120 its reverse (21212313313323), we get a palindrome (344525626525443).

The spelling of 323313313212120 in words is "three hundred twenty-three trillion, three hundred thirteen billion, three hundred thirteen million, two hundred twelve thousand, one hundred twenty".