321312321000 has 192 divisors, whose sum is σ = 1184766523200. Its totient is φ = 77893872000.

The previous prime is 321312320981. The next prime is 321312321007. The reversal of 321312321000 is 123213123.

321312321000 is a `hidden beast` number, since 32 + 1 + 312 + 321 + 0 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (321312321007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1523790 + ... + 1721789.

It is an arithmetic number, because the mean of its divisors is an integer number (6170658975).

Almost surely, 2^321312321000 is an apocalyptic number.

321312321000 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

321312321000 is an abundant number, since it is smaller than the sum of its proper divisors (863454202200).

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

321312321000 is a wasteful number, since it uses less digits than its factorization.

321312321000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3245617 (or 3245600 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 321312321000 its reverse (123213123), we get a palindrome (321435534123).

The spelling of 321312321000 in words is "three hundred twenty-one billion, three hundred twelve million, three hundred twenty-one thousand".