321112213221200 has 60 divisors (see below), whose sum is σ = 771473940273660. Its totient is φ = 128444577607680.

The previous prime is 321112213221143. The next prime is 321112213221209. The reversal of 321112213221200 is 2122312211123.

It can be written as a sum of positive squares in 6 ways, for example, as 65717806649104 + 255394406572096 = 8106652^2 + 15981064^2 .

It is a super-2 number, since 2×321112213221200² (a number of 30 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (321112213221209) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 244399616 + ... + 245709984.

It is an arithmetic number, because the mean of its divisors is an integer number (12857899004561).

Almost surely, 2^{321112213221200} is an apocalyptic number.

It is an amenable number.

321112213221200 is an abundant number, since it is smaller than the sum of its proper divisors (450361727052460).

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

321112213221200 is a wasteful number, since it uses less digits than its factorization.

321112213221200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1923024 (or 1923013 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 23.

Adding to 321112213221200 its reverse (2122312211123), we get a palindrome (323234525432323).

The spelling of 321112213221200 in words is "three hundred twenty-one trillion, one hundred twelve billion, two hundred thirteen million, two hundred twenty-one thousand, two hundred".