321231233122432 has 128 divisors (see below), whose sum is σ = 644672001055680. Its totient is φ = 159435954585600.

The previous prime is 321231233122271. The next prime is 321231233122439. The reversal of 321231233122432 is 234221332132123.

It is a tau number, because it is divible by the number of its divisors (128).

It is not an unprimeable number, because it can be changed into a prime (321231233122439) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 17924840832 + ... + 17924858752.

Almost surely, 2^{321231233122432} is an apocalyptic number.

321231233122432 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 321231233122432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (322336000527840).

321231233122432 is an abundant number, since it is smaller than the sum of its proper divisors (323440767933248).

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

321231233122432 is a wasteful number, since it uses less digits than its factorization.

321231233122432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19950 (or 19938 counting only the distinct ones).

The product of its digits is 62208, while the sum is 34.

Adding to 321231233122432 its reverse (234221332132123), we get a palindrome (555452565254555).

The spelling of 321231233122432 in words is "three hundred twenty-one trillion, two hundred thirty-one billion, two hundred thirty-three million, one hundred twenty-two thousand, four hundred thirty-two".