323201013120 has 192 divisors, whose sum is σ = 1116420926400. Its totient is φ = 86158565376.

The previous prime is 323201013089. The next prime is 323201013127. The reversal of 323201013120 is 21310102323.

323201013120 is a `hidden beast` number, since 32 + 320 + 1 + 0 + 1 + 312 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 323201013093 and 323201013102.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (323201013127) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 22070761 + ... + 22085399.

It is an arithmetic number, because the mean of its divisors is an integer number (5814692325).

Almost surely, 2^323201013120 is an apocalyptic number.

323201013120 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 323201013120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (558210463200).

323201013120 is an abundant number, since it is smaller than the sum of its proper divisors (793219913280).

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

323201013120 is a wasteful number, since it uses less digits than its factorization.

323201013120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18497 (or 18482 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 323201013120 its reverse (21310102323), we get a palindrome (344511115443).

The spelling of 323201013120 in words is "three hundred twenty-three billion, two hundred one million, thirteen thousand, one hundred twenty".