321011230012000 has 576 divisors, whose sum is σ = 873710647467840. Its totient is φ = 115822586880000.

The previous prime is 321011230011929. The next prime is 321011230012009. The reversal of 321011230012000 is 210032110123.

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 (321011230012009) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 61626265396 + ... + 61626270604.

It is an arithmetic number, because the mean of its divisors is an integer number (1516858762965).

Almost surely, 2^{321011230012000} 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 321011230012000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (436855323733920).

321011230012000 is an abundant number, since it is smaller than the sum of its proper divisors (552699417455840).

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

321011230012000 is a wasteful number, since it uses less digits than its factorization.

321011230012000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6224 (or 6195 counting only the distinct ones).

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

Adding to 321011230012000 its reverse (210032110123), we get a palindrome (321221262122123).

The spelling of 321011230012000 in words is "three hundred twenty-one trillion, eleven billion, two hundred thirty million, twelve thousand".