211305041112 has 128 divisors (see below), whose sum is σ = 596395353600. Its totient is φ = 61799270400.

The previous prime is 211305041099. The next prime is 211305041113. The reversal of 211305041112 is 211140503112.

211305041112 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (211305041113) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 29939088 + ... + 29946144.

It is an arithmetic number, because the mean of its divisors is an integer number (4659338700).

Almost surely, 2^211305041112 is an apocalyptic number.

211305041112 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 211305041112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (298197676800).

211305041112 is an abundant number, since it is smaller than the sum of its proper divisors (385090312488).

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

211305041112 is a wasteful number, since it uses less digits than its factorization.

211305041112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11017 (or 11013 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 21.

Adding to 211305041112 its reverse (211140503112), we get a palindrome (422445544224).

The spelling of 211305041112 in words is "two hundred eleven billion, three hundred five million, forty-one thousand, one hundred twelve".