321303001120 has 96 divisors (see below), whose sum is σ = 768088863360. Its totient is φ = 126997432320.

The previous prime is 321303001079. The next prime is 321303001141. The reversal of 321303001120 is 21100303123.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 321303001094 and 321303001103.

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 15 ways as a sum of consecutive naturals, for example, 26067279 + ... + 26079601.

It is an arithmetic number, because the mean of its divisors is an integer number (8000925660).

Almost surely, 2^321303001120 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 321303001120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (384044431680).

321303001120 is an abundant number, since it is smaller than the sum of its proper divisors (446785862240).

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

321303001120 is a wasteful number, since it uses less digits than its factorization.

321303001120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14258 (or 14250 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 16.

Adding to 321303001120 its reverse (21100303123), we get a palindrome (342403304243).

The spelling of 321303001120 in words is "three hundred twenty-one billion, three hundred three million, one thousand, one hundred twenty".