321223303322152 has 192 divisors, whose sum is σ = 792315784512000. Its totient is φ = 118591744782720.

The previous prime is 321223303322149. The next prime is 321223303322153. The reversal of 321223303322152 is 251223303322123.

It is a super-2 number, since 2×321223303322152² (a number of 30 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (321223303322153) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 30261099 + ... + 39473797.

It is an arithmetic number, because the mean of its divisors is an integer number (4126644711000).

Almost surely, 2^{321223303322152} 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 321223303322152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (396157892256000).

321223303322152 is an abundant number, since it is smaller than the sum of its proper divisors (471092481189848).

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

321223303322152 is a wasteful number, since it uses less digits than its factorization.

321223303322152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9212876 (or 9212849 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 34.

Adding to 321223303322152 its reverse (251223303322123), we get a palindrome (572446606644275).

The spelling of 321223303322152 in words is "three hundred twenty-one trillion, two hundred twenty-three billion, three hundred three million, three hundred twenty-two thousand, one hundred fifty-two".