211111242111112 has 32 divisors (see below), whose sum is σ = 476190771681600. Its totient is φ = 85714338901824.

The previous prime is 211111242111043. The next prime is 211111242111127.

211111242111112 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 pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 99206409703 + ... + 99206411830.

It is an arithmetic number, because the mean of its divisors is an integer number (14880961615050).

Almost surely, 2^{211111242111112} is an apocalyptic number.

It is an amenable number.

211111242111112 is an abundant number, since it is smaller than the sum of its proper divisors (265079529570488).

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

211111242111112 is a wasteful number, since it uses less digits than its factorization.

211111242111112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 198412821565 (or 198412821561 counting only the distinct ones).

The product of its digits is 64, while the sum is 22.

The spelling of 211111242111112 in words is "two hundred eleven trillion, one hundred eleven billion, two hundred forty-two million, one hundred eleven thousand, one hundred twelve".