321002242211420 has 144 divisors (see below), whose sum is σ = 855785806696800. Its totient is φ = 100013386636800.

The previous prime is 321002242211411. The next prime is 321002242211423. The reversal of 321002242211420 is 24112242200123.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 321002242211420.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (321002242211423) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 21637190 + ... + 33319250.

It is an arithmetic number, because the mean of its divisors is an integer number (5942956990950).

Almost surely, 2^{321002242211420} 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 321002242211420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (427892903348400).

321002242211420 is an abundant number, since it is smaller than the sum of its proper divisors (534783564485380).

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

321002242211420 is a wasteful number, since it uses less digits than its factorization.

321002242211420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11684644 (or 11684635 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 26.

Adding to 321002242211420 its reverse (24112242200123), we get a palindrome (345114484411543).

The spelling of 321002242211420 in words is "three hundred twenty-one trillion, two billion, two hundred forty-two million, two hundred eleven thousand, four hundred twenty".