211111040111112 has 96 divisors (see below), whose sum is σ = 575085930382080. Its totient is φ = 69960917577600.

The previous prime is 211111040111107. The next prime is 211111040111219.

211111040111112 is a `hidden beast` number, since 21 + 11 + 110 + 401 + 11 + 112 = 666.

211111040111112 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 341321737 + ... + 341939687.

It is an arithmetic number, because the mean of its divisors is an integer number (5990478441480).

Almost surely, 2^{211111040111112} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 211111040111112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (287542965191040).

211111040111112 is an abundant number, since it is smaller than the sum of its proper divisors (363974890270968).

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

211111040111112 is a wasteful number, since it uses less digits than its factorization.

211111040111112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 645563 (or 645556 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 18.

The spelling of 211111040111112 in words is "two hundred eleven trillion, one hundred eleven billion, forty million, one hundred eleven thousand, one hundred twelve".