212314343413212 has 144 divisors (see below), whose sum is σ = 560715868702080. Its totient is φ = 67650992640000.

The previous prime is 212314343413201. The next prime is 212314343413217.

212314343413212 is a `hidden beast` number, since 2 + 1 + 2 + 3 + 1 + 4 + 3 + 434 + 1 + 3 + 212 = 666.

212314343413212 is nontrivially palindromic in base 10.

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 a congruent number.

It is not an unprimeable number, because it can be changed into a prime (212314343413217) 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 47 ways as a sum of consecutive naturals, for example, 2680663212 + ... + 2680742412.

It is an arithmetic number, because the mean of its divisors is an integer number (3893860199320).

Almost surely, 2^{212314343413212} 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 212314343413212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (280357934351040).

212314343413212 is an abundant number, since it is smaller than the sum of its proper divisors (348401525288868).

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

212314343413212 is a wasteful number, since it uses less digits than its factorization.

212314343413212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 104764 (or 104759 counting only the distinct ones).

The product of its digits is 82944, while the sum is 36.

The spelling of 212314343413212 in words is "two hundred twelve trillion, three hundred fourteen billion, three hundred forty-three million, four hundred thirteen thousand, two hundred twelve".