321214201300212 has 192 divisors, whose sum is σ = 874850116008960. Its totient is φ = 90695511475200.

The previous prime is 321214201300211. The next prime is 321214201300219. The reversal of 321214201300212 is 212003102412123.

It is a super-2 number, since 2×321214201300212² (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 (321214201300211) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 2040322243 + ... + 2040479669.

It is an arithmetic number, because the mean of its divisors is an integer number (4556511020880).

Almost surely, 2^{321214201300212} 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 321214201300212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (437425058004480).

321214201300212 is an abundant number, since it is smaller than the sum of its proper divisors (553635914708748).

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

321214201300212 is a wasteful number, since it uses less digits than its factorization.

321214201300212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 170862 (or 170860 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

Adding to 321214201300212 its reverse (212003102412123), we get a palindrome (533217303712335).

The spelling of 321214201300212 in words is "three hundred twenty-one trillion, two hundred fourteen billion, two hundred one million, three hundred thousand, two hundred twelve".