321003004214112 has 192 divisors, whose sum is σ = 933434899488000. Its totient is φ = 95772586567680.

The previous prime is 321003004214023. The next prime is 321003004214153. The reversal of 321003004214112 is 211412400300123.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 136731714 + ... + 139059582.

It is an arithmetic number, because the mean of its divisors is an integer number (4861640101500).

Almost surely, 2^{321003004214112} is an apocalyptic number.

321003004214112 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 321003004214112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (466717449744000).

321003004214112 is an abundant number, since it is smaller than the sum of its proper divisors (612431895273888).

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

321003004214112 is a wasteful number, since it uses less digits than its factorization.

321003004214112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2329909 (or 2329901 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

Adding to 321003004214112 its reverse (211412400300123), we get a palindrome (532415404514235).

The spelling of 321003004214112 in words is "three hundred twenty-one trillion, three billion, four million, two hundred fourteen thousand, one hundred twelve".