321234321241000 has 256 divisors, whose sum is σ = 805697427225600. Its totient is φ = 119526350112000.

The previous prime is 321234321240991. The next prime is 321234321241003. The reversal of 321234321241000 is 142123432123.

It is a self number, because there is not a number n which added to its sum of digits gives 321234321241000.

It is not an unprimeable number, because it can be changed into a prime (321234321241003) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 256426155 + ... + 257675845.

It is an arithmetic number, because the mean of its divisors is an integer number (3147255575100).

Almost surely, 2^{321234321241000} 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 321234321241000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (402848713612800).

321234321241000 is an abundant number, since it is smaller than the sum of its proper divisors (484463105984600).

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

321234321241000 is a wasteful number, since it uses less digits than its factorization.

321234321241000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1249977 (or 1249963 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 28.

Adding to 321234321241000 its reverse (142123432123), we get a palindrome (321376444673123).

The spelling of 321234321241000 in words is "three hundred twenty-one trillion, two hundred thirty-four billion, three hundred twenty-one million, two hundred forty-one thousand".