321003321441012 has 144 divisors (see below), whose sum is σ = 949782039478272. Its totient is φ = 89499906538560.

The previous prime is 321003321440951. The next prime is 321003321441013. The reversal of 321003321441012 is 210144123300123.

321003321441012 is a `hidden beast` number, since 3 + 2 + 1 + 0 + 0 + 33 + 214 + 410 + 1 + 2 = 666.

It is a super-3 number, since 3×321003321441012³ (a number of 44 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (321003321441013) 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, 1847664 + ... + 25405127.

It is an arithmetic number, because the mean of its divisors is an integer number (6595708607488).

Almost surely, 2^{321003321441012} 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 321003321441012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (474891019739136).

321003321441012 is an abundant number, since it is smaller than the sum of its proper divisors (628778718037260).

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

321003321441012 is a wasteful number, since it uses less digits than its factorization.

321003321441012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27253938 (or 27253933 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

Adding to 321003321441012 its reverse (210144123300123), we get a palindrome (531147444741135).

The spelling of 321003321441012 in words is "three hundred twenty-one trillion, three billion, three hundred twenty-one million, four hundred forty-one thousand, twelve".