322101322312 has 256 divisors, whose sum is σ = 776355840000. Its totient is φ = 121677154560.

The previous prime is 322101322307. The next prime is 322101322357. The reversal of 322101322312 is 213223101223.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 897217989 + ... + 897218347.

It is an arithmetic number, because the mean of its divisors is an integer number (3032640000).

Almost surely, 2^322101322312 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 322101322312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (388177920000).

322101322312 is an abundant number, since it is smaller than the sum of its proper divisors (454254517688).

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

322101322312 is a wasteful number, since it uses less digits than its factorization.

322101322312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 744 (or 740 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 22.

Adding to 322101322312 its reverse (213223101223), we get a palindrome (535324423535).

Subtracting from 322101322312 its reverse (213223101223), we obtain a square (108878221089 = 329967²).

The spelling of 322101322312 in words is "three hundred twenty-two billion, one hundred one million, three hundred twenty-two thousand, three hundred twelve".