211311424113112 has 64 divisors (see below), whose sum is σ = 397296707955840. Its totient is φ = 105366165811200.

The previous prime is 211311424113079. The next prime is 211311424113113.

It is a happy number.

211311424113112 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×211311424113112² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (211311424113113) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11754534268 + ... + 11754552244.

It is an arithmetic number, because the mean of its divisors is an integer number (6207761061810).

Almost surely, 2^{211311424113112} is an apocalyptic number.

It is an amenable number.

211311424113112 is a deficient number, since it is larger than the sum of its proper divisors (185985283842728).

211311424113112 is a wasteful number, since it uses less digits than its factorization.

211311424113112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21452 (or 21448 counting only the distinct ones).

The product of its digits is 1152, while the sum is 28.

The spelling of 211311424113112 in words is "two hundred eleven trillion, three hundred eleven billion, four hundred twenty-four million, one hundred thirteen thousand, one hundred twelve".