211032132224 has 64 divisors (see below), whose sum is σ = 426889176000. Its totient is φ = 103902289920.

The previous prime is 211032132191. The next prime is 211032132299. The reversal of 211032132224 is 422231230112.

211032132224 is digitally balanced in base 3, 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 (64).

It is a self number, because there is not a number n which added to its sum of digits gives 211032132224.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2428079 + ... + 2513489.

It is an arithmetic number, because the mean of its divisors is an integer number (6670143375).

Almost surely, 2^211032132224 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 211032132224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (213444588000).

211032132224 is an abundant number, since it is smaller than the sum of its proper divisors (215857043776).

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

211032132224 is an equidigital number, since it uses as much as digits as its factorization.

211032132224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 85721 (or 85709 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 23.

Adding to 211032132224 its reverse (422231230112), we get a palindrome (633263362336).

The spelling of 211032132224 in words is "two hundred eleven billion, thirty-two million, one hundred thirty-two thousand, two hundred twenty-four".