323212230213120 has 960 divisors, whose sum is σ = 1187448321121920. Its totient is φ = 81079415341056.

The previous prime is 323212230213079. The next prime is 323212230213133. The reversal of 323212230213120 is 21312032212323.

323212230213120 is a `hidden beast` number, since 3 + 2 + 3 + 21 + 22 + 302 + 1 + 312 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

It is a super-2 number, since 2×323212230213120² (a number of 30 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 13655496646 + ... + 13655520314.

It is an arithmetic number, because the mean of its divisors is an integer number (1236925334502).

Almost surely, 2^{323212230213120} is an apocalyptic number.

323212230213120 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 323212230213120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (593724160560960).

323212230213120 is an abundant number, since it is smaller than the sum of its proper divisors (864236090908800).

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

323212230213120 is a wasteful number, since it uses less digits than its factorization.

323212230213120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24147 (or 24128 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

Adding to 323212230213120 its reverse (21312032212323), we get a palindrome (344524262425443).

The spelling of 323212230213120 in words is "three hundred twenty-three trillion, two hundred twelve billion, two hundred thirty million, two hundred thirteen thousand, one hundred twenty".