312124421213 has 16 divisors (see below), whose sum is σ = 340928179200. Its totient is φ = 283392385200.

The previous prime is 312124421149. The next prime is 312124421221.

It is a happy number.

312124421213 is nontrivially palindromic in base 10.

It is a cyclic number.

It is not a de Polignac number, because 312124421213 - 2⁶ = 312124421149 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (312124421263) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 34328798 + ... + 34337888.

It is an arithmetic number, because the mean of its divisors is an integer number (21308011200).

Almost surely, 2^312124421213 is an apocalyptic number.

It is an amenable number.

312124421213 is a deficient number, since it is larger than the sum of its proper divisors (28803757987).

312124421213 is a wasteful number, since it uses less digits than its factorization.

312124421213 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12688.

The product of its digits is 2304, while the sum is 26.

It can be divided in two parts, 312124 and 421213, that added together give a palindrome (733337).

The spelling of 312124421213 in words is "three hundred twelve billion, one hundred twenty-four million, four hundred twenty-one thousand, two hundred thirteen".