324313001120 has 48 divisors (see below), whose sum is σ = 811259440488. Its totient is φ = 122094305280.

The previous prime is 324313001101. The next prime is 324313001149. The reversal of 324313001120 is 21100313423.

It can be written as a sum of positive squares in 4 ways, for example, as 210060888976 + 114252112144 = 458324^2 + 338012^2 .

It is a super-2 number, since 2×324313001120² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 324313001092 and 324313001101.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 59613641 + ... + 59619080.

Almost surely, 2^324313001120 is an apocalyptic number.

It is an amenable number.

324313001120 is an abundant number, since it is smaller than the sum of its proper divisors (486946439368).

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

324313001120 is a wasteful number, since it uses less digits than its factorization.

324313001120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 119232753 (or 119232745 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 20.

Adding to 324313001120 its reverse (21100313423), we get a palindrome (345413314543).

The spelling of 324313001120 in words is "three hundred twenty-four billion, three hundred thirteen million, one thousand, one hundred twenty".