211313212333212 has 120 divisors (see below), whose sum is σ = 549232654432000. Its totient is φ = 63223741769760.

The previous prime is 211313212333199. The next prime is 211313212333219. The reversal of 211313212333212 is 212333212313112.

It is a happy number.

It is a super-2 number, since 2×211313212333212² (a number of 29 digits) contains 22 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 211313212333212.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (211313212333219) 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 39 ways as a sum of consecutive naturals, for example, 6267339 + ... + 21491997.

Almost surely, 2^{211313212333212} is an apocalyptic number.

211313212333212 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 211313212333212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (274616327216000).

211313212333212 is an abundant number, since it is smaller than the sum of its proper divisors (337919442098788).

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

211313212333212 is a wasteful number, since it uses less digits than its factorization.

211313212333212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15224789 (or 15224754 counting only the distinct ones).

The product of its digits is 7776, while the sum is 30.

Adding to 211313212333212 its reverse (212333212313112), we get a palindrome (423646424646324).

The spelling of 211313212333212 in words is "two hundred eleven trillion, three hundred thirteen billion, two hundred twelve million, three hundred thirty-three thousand, two hundred twelve".