213212424212312 has 64 divisors (see below), whose sum is σ = 461623915434240. Its totient is φ = 90429572592000.

The previous prime is 213212424212297. The next prime is 213212424212371.

It is a happy number.

213212424212312 is nontrivially palindromic in base 10.

213212424212312 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3208103 + ... + 20897769.

It is an arithmetic number, because the mean of its divisors is an integer number (7212873678660).

Almost surely, 2^{213212424212312} 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 213212424212312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (230811957717120).

213212424212312 is an abundant number, since it is smaller than the sum of its proper divisors (248411491221928).

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

213212424212312 is a wasteful number, since it uses less digits than its factorization.

213212424212312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17691912 (or 17691908 counting only the distinct ones).

The product of its digits is 18432, while the sum is 32.

The spelling of 213212424212312 in words is "two hundred thirteen trillion, two hundred twelve billion, four hundred twenty-four million, two hundred twelve thousand, three hundred twelve".