213612216312 has 128 divisors (see below), whose sum is σ = 590998383360. Its totient is φ = 63796792320.

The previous prime is 213612216299. The next prime is 213612216317.

213612216312 is nontrivially palindromic in base 10.

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 213612216312.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (213612216317) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 32624223 + ... + 32630769.

It is an arithmetic number, because the mean of its divisors is an integer number (4617174870).

Almost surely, 2^213612216312 is an apocalyptic number.

213612216312 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 213612216312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (295499191680).

213612216312 is an abundant number, since it is smaller than the sum of its proper divisors (377386167048).

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

213612216312 is a wasteful number, since it uses less digits than its factorization.

213612216312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8333 (or 8329 counting only the distinct ones).

The product of its digits is 5184, while the sum is 30.

It can be divided in two parts, 213612 and 216312, that added together give a palindrome (429924).

The spelling of 213612216312 in words is "two hundred thirteen billion, six hundred twelve million, two hundred sixteen thousand, three hundred twelve".