211141112 has 128 divisors (see below), whose sum is σ = 514684800. Its totient is φ = 78962688.

The previous prime is 211141111. The next prime is 211141121.

211141112 is nontrivially palindromic in base 10.

211141112 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (14).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (211141111) 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, 1541108 + ... + 1541244.

It is an arithmetic number, because the mean of its divisors is an integer number (4020975).

Almost surely, 2^211141112 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 211141112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (257342400).

211141112 is an abundant number, since it is smaller than the sum of its proper divisors (303543688).

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

211141112 is a wasteful number, since it uses less digits than its factorization.

211141112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 265 (or 261 counting only the distinct ones).

The product of its digits is 16, while the sum is 14.

The square root of 211141112 is about 14530.6955098509. The cubic root of 211141112 is about 595.4668670583.

The spelling of 211141112 in words is "two hundred eleven million, one hundred forty-one thousand, one hundred twelve".