321121322000 has 80 divisors (see below), whose sum is σ = 780152340864. Its totient is φ = 127839600000.

The previous prime is 321121321973. The next prime is 321121322111. The reversal of 321121322000 is 223121123.

It is a tau number, because it is divible by the number of its divisors (80).

It is a self number, because there is not a number n which added to its sum of digits gives 321121322000.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 41525 + ... + 802475.

Almost surely, 2^321121322000 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 321121322000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (390076170432).

321121322000 is an abundant number, since it is smaller than the sum of its proper divisors (459031018864).

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

321121322000 is a wasteful number, since it uses less digits than its factorization.

321121322000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 761185 (or 761169 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 17.

Adding to 321121322000 its reverse (223121123), we get a palindrome (321344443123).

The spelling of 321121322000 in words is "three hundred twenty-one billion, one hundred twenty-one million, three hundred twenty-two thousand".