211041120224 has 96 divisors (see below), whose sum is σ = 460895339520. Its totient is φ = 94318963200.

The previous prime is 211041120209. The next prime is 211041120253. The reversal of 211041120224 is 422021140112.

211041120224 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 211041120196 and 211041120205.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9310697 + ... + 9333335.

It is an arithmetic number, because the mean of its divisors is an integer number (4800993120).

Almost surely, 2^211041120224 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 211041120224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (230447669760).

211041120224 is an abundant number, since it is smaller than the sum of its proper divisors (249854219296).

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

211041120224 is a wasteful number, since it uses less digits than its factorization.

211041120224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23104 (or 23096 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 20.

Adding to 211041120224 its reverse (422021140112), we get a palindrome (633062260336).

The spelling of 211041120224 in words is "two hundred eleven billion, forty-one million, one hundred twenty thousand, two hundred twenty-four".