321012122313132 has 144 divisors (see below), whose sum is σ = 828035647639200. Its totient is φ = 104831367782400.

The previous prime is 321012122313097. The next prime is 321012122313133. The reversal of 321012122313132 is 231313221210123.

321012122313132 is a `hidden beast` number, since 3 + 2 + 1 + 0 + 1 + 212 + 2 + 313 + 132 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 321012122313096 and 321012122313105.

It is not an unprimeable number, because it can be changed into a prime (321012122313133) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 562723198 + ... + 563293370.

It is an arithmetic number, because the mean of its divisors is an integer number (5750247553050).

Almost surely, 2^{321012122313132} 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 321012122313132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (414017823819600).

321012122313132 is an abundant number, since it is smaller than the sum of its proper divisors (507023525326068).

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

321012122313132 is a wasteful number, since it uses less digits than its factorization.

321012122313132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 571264 (or 571259 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

Adding to 321012122313132 its reverse (231313221210123), we get a palindrome (552325343523255).

The spelling of 321012122313132 in words is "three hundred twenty-one trillion, twelve billion, one hundred twenty-two million, three hundred thirteen thousand, one hundred thirty-two".