211152122430 has 128 divisors (see below), whose sum is σ = 536490345600. Its totient is φ = 53104257024.

The previous prime is 211152122407. The next prime is 211152122443. The reversal of 211152122430 is 34221251112.

It is a happy number.

211152122430 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 211152122430.

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 63 ways as a sum of consecutive naturals, for example, 10549192 + ... + 10569188.

It is an arithmetic number, because the mean of its divisors is an integer number (4191330825).

Almost surely, 2^211152122430 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 211152122430, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (268245172800).

211152122430 is an abundant number, since it is smaller than the sum of its proper divisors (325338223170).

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

211152122430 is a wasteful number, since it uses less digits than its factorization.

211152122430 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20318.

The product of its (nonzero) digits is 960, while the sum is 24.

Adding to 211152122430 its reverse (34221251112), we get a palindrome (245373373542).

The spelling of 211152122430 in words is "two hundred eleven billion, one hundred fifty-two million, one hundred twenty-two thousand, four hundred thirty".