321023322000000 has 672 divisors, whose sum is σ = 1185918559501260. Its totient is φ = 83292364800000.

The previous prime is 321023321999971. The next prime is 321023322000001. The reversal of 321023322000000 is 223320123.

It is a happy number.

321023322000000 is a `hidden beast` number, since 3 + 210 + 233 + 220 + 0 + 0 + 0 + 0 + 0 = 666.

It can be written as a sum of positive squares in 14 ways, for example, as 153353350822464 + 167669971177536 = 12383592^2 + 12948744^2 .

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 (321023322000001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 83 ways as a sum of consecutive naturals, for example, 665758992 + ... + 666241008.

Almost surely, 2^{321023322000000} is an apocalyptic number.

321023322000000 is a gapful number since it is divisible by the number (30) 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 321023322000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (592959279750630).

321023322000000 is an abundant number, since it is smaller than the sum of its proper divisors (864895237501260).

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

321023322000000 is an frugal number, since it uses more digits than its factorization.

321023322000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 482104 (or 482064 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 18.

Adding to 321023322000000 its reverse (223320123), we get a palindrome (321023545320123).

The spelling of 321023322000000 in words is "three hundred twenty-one trillion, twenty-three billion, three hundred twenty-two million", and thus it is an aban number.