321012321010000 has 200 divisors, whose sum is σ = 781811152848000. Its totient is φ = 127645701120000.

The previous prime is 321012321009931. The next prime is 321012321010001. The reversal of 321012321010000 is 10123210123.

It is a tau number, because it is divible by the number of its divisors (200).

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (321012321010001) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1216658091 + ... + 1216921909.

It is an arithmetic number, because the mean of its divisors is an integer number (3909055764240).

Almost surely, 2^{321012321010000} 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 321012321010000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (390905576424000).

321012321010000 is an abundant number, since it is smaller than the sum of its proper divisors (460798831838000).

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

321012321010000 is a wasteful number, since it uses less digits than its factorization.

321012321010000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 264567 (or 264546 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 16.

Adding to 321012321010000 its reverse (10123210123), we get a palindrome (321022444220123).

The spelling of 321012321010000 in words is "three hundred twenty-one trillion, twelve billion, three hundred twenty-one million, ten thousand".