212312113113312 has 72 divisors (see below), whose sum is σ = 603769712986440. Its totient is φ = 70769867293440.

The previous prime is 212312113113277. The next prime is 212312113113361. The reversal of 212312113113312 is 213311311213212.

212312113113312 is a `hidden beast` number, since 2 + 1 + 2 + 3 + 1 + 2 + 11 + 311 + 331 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 20272639 + ... + 28906817.

It is an arithmetic number, because the mean of its divisors is an integer number (8385690458145).

Almost surely, 2^{212312113113312} is an apocalyptic number.

It is an amenable number.

212312113113312 is an abundant number, since it is smaller than the sum of its proper divisors (391457599873128).

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

212312113113312 is a wasteful number, since it uses less digits than its factorization.

212312113113312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8719576 (or 8719565 counting only the distinct ones).

The product of its digits is 1296, while the sum is 27.

Adding to 212312113113312 its reverse (213311311213212), we get a palindrome (425623424326524).

The spelling of 212312113113312 in words is "two hundred twelve trillion, three hundred twelve billion, one hundred thirteen million, one hundred thirteen thousand, three hundred twelve".