321214424323212 has 144 divisors (see below), whose sum is σ = 935143859220480. Its totient is φ = 91064943035136.

The previous prime is 321214424323187. The next prime is 321214424323229. The reversal of 321214424323212 is 212323424412123.

321214424323212 is a `hidden beast` number, since 3 + 2 + 1 + 2 + 1 + 4 + 4 + 2 + 432 + 3 + 212 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 75221503 + ... + 79376969.

It is an arithmetic number, because the mean of its divisors is an integer number (6494054577920).

Almost surely, 2^{321214424323212} 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 321214424323212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (467571929610240).

321214424323212 is an abundant number, since it is smaller than the sum of its proper divisors (613929434897268).

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

321214424323212 is a wasteful number, since it uses less digits than its factorization.

321214424323212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4157860 (or 4157855 counting only the distinct ones).

The product of its digits is 110592, while the sum is 36.

Adding to 321214424323212 its reverse (212323424412123), we get a palindrome (533537848735335).

The spelling of 321214424323212 in words is "three hundred twenty-one trillion, two hundred fourteen billion, four hundred twenty-four million, three hundred twenty-three thousand, two hundred twelve".