321300311012000 has 192 divisors, whose sum is σ = 793626979541760. Its totient is φ = 127839164544000.

The previous prime is 321300311011909. The next prime is 321300311012003. The reversal of 321300311012000 is 210113003123.

It is a self number, because there is not a number n which added to its sum of digits gives 321300311012000.

It is not an unprimeable number, because it can be changed into a prime (321300311012003) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 678719387 + ... + 679192613.

It is an arithmetic number, because the mean of its divisors is an integer number (4133473851780).

Almost surely, 2^{321300311012000} 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 321300311012000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (396813489770880).

321300311012000 is an abundant number, since it is smaller than the sum of its proper divisors (472326668529760).

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

321300311012000 is a wasteful number, since it uses less digits than its factorization.

321300311012000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 474152 (or 474134 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 17.

Adding to 321300311012000 its reverse (210113003123), we get a palindrome (321510424015123).

The spelling of 321300311012000 in words is "three hundred twenty-one trillion, three hundred billion, three hundred eleven million, twelve thousand".