321512122340 has 96 divisors (see below), whose sum is σ = 701895940704. Its totient is φ = 123605913600.

The previous prime is 321512122333. The next prime is 321512122357. The reversal of 321512122340 is 43221215123.

It can be written as a sum of positive squares in 16 ways, for example, as 112664950336 + 208847172004 = 335656^2 + 456998^2 .

It is a super-2 number, since 2×321512122340² (a number of 24 digits) contains 22 as substring.

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 31 ways as a sum of consecutive naturals, for example, 34151474 + ... + 34160886.

It is an arithmetic number, because the mean of its divisors is an integer number (7311416049).

Almost surely, 2^321512122340 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 321512122340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (350947970352).

321512122340 is an abundant number, since it is smaller than the sum of its proper divisors (380383818364).

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

321512122340 is a wasteful number, since it uses less digits than its factorization.

321512122340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10017 (or 10015 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 26.

Adding to 321512122340 its reverse (43221215123), we get a palindrome (364733337463).

The spelling of 321512122340 in words is "three hundred twenty-one billion, five hundred twelve million, one hundred twenty-two thousand, three hundred forty".