321320105622252 has 288 divisors, whose sum is σ = 944669006507520. Its totient is φ = 93664470268800.

The previous prime is 321320105622211. The next prime is 321320105622277. The reversal of 321320105622252 is 252226501023123.

It is a happy number.

321320105622252 is a `hidden beast` number, since 3 + 2 + 1 + 3 + 2 + 0 + 1 + 0 + 5 + 622 + 25 + 2 = 666.

It is a super-2 number, since 2×321320105622252² (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 189815898 + ... + 191501214.

It is an arithmetic number, because the mean of its divisors is an integer number (3280100717040).

Almost surely, 2^{321320105622252} 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 321320105622252, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (472334503253760).

321320105622252 is an abundant number, since it is smaller than the sum of its proper divisors (623348900885268).

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

321320105622252 is a wasteful number, since it uses less digits than its factorization.

321320105622252 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1685570 (or 1685531 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 36.

Adding to 321320105622252 its reverse (252226501023123), we get a palindrome (573546606645375).

The spelling of 321320105622252 in words is "three hundred twenty-one trillion, three hundred twenty billion, one hundred five million, six hundred twenty-two thousand, two hundred fifty-two".