321214200340220 has 96 divisors (see below), whose sum is σ = 755832499853760. Its totient is φ = 113637512355840.

The previous prime is 321214200340151. The next prime is 321214200340301. The reversal of 321214200340220 is 22043002412123.

It is a super-3 number, since 3×321214200340220³ (a number of 44 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 321214200340220.

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 84397676 + ... + 88121484.

It is an arithmetic number, because the mean of its divisors is an integer number (7873255206810).

Almost surely, 2^{321214200340220} 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 321214200340220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (377916249926880).

321214200340220 is an abundant number, since it is smaller than the sum of its proper divisors (434618299513540).

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

321214200340220 is a wasteful number, since it uses less digits than its factorization.

321214200340220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3734463 (or 3734461 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 26.

Adding to 321214200340220 its reverse (22043002412123), we get a palindrome (343257202752343).

The spelling of 321214200340220 in words is "three hundred twenty-one trillion, two hundred fourteen billion, two hundred million, three hundred forty thousand, two hundred twenty".