211111222111112 has 192 divisors, whose sum is σ = 418265919417600. Its totient is φ = 99853171200000.

The previous prime is 211111222111099. The next prime is 211111222111129.

211111222111112 is nontrivially palindromic in base 10.

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 21717022412 + ... + 21717032132.

It is an arithmetic number, because the mean of its divisors is an integer number (2178468330300).

Almost surely, 2^{211111222111112} is an apocalyptic number.

It is an amenable number.

211111222111112 is a deficient number, since it is larger than the sum of its proper divisors (207154697306488).

211111222111112 is a wasteful number, since it uses less digits than its factorization.

211111222111112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10240 (or 10195 counting only the distinct ones).

The product of its digits is 32, while the sum is 20.

The spelling of 211111222111112 in words is "two hundred eleven trillion, one hundred eleven billion, two hundred twenty-two million, one hundred eleven thousand, one hundred twelve".