211401112224 has 24 divisors (see below), whose sum is σ = 554927919840. Its totient is φ = 70467037376.

The previous prime is 211401112193. The next prime is 211401112267. The reversal of 211401112224 is 422211104112.

211401112224 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (24).

It is a self number, because there is not a number n which added to its sum of digits gives 211401112224.

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 3 ways as a sum of consecutive naturals, for example, 1101047364 + ... + 1101047555.

It is an arithmetic number, because the mean of its divisors is an integer number (23121996660).

Almost surely, 2^211401112224 is an apocalyptic number.

211401112224 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

211401112224 is an abundant number, since it is smaller than the sum of its proper divisors (343526807616).

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

211401112224 is a wasteful number, since it uses less digits than its factorization.

211401112224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2202094932 (or 2202094924 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 21.

Adding to 211401112224 its reverse (422211104112), we get a palindrome (633612216336).

The spelling of 211401112224 in words is "two hundred eleven billion, four hundred one million, one hundred twelve thousand, two hundred twenty-four".