211242312144 has 30 divisors (see below), whose sum is σ = 591185082306. Its totient is φ = 70414104000.

The previous prime is 211242312139. The next prime is 211242312163. The reversal of 211242312144 is 441213242112.

211242312144 is a `hidden beast` number, since 2 + 112 + 423 + 121 + 4 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 201259904400 + 9982407744 = 448620^2 + 99912^2 .

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 733480107 + ... + 733480394.

Almost surely, 2^211242312144 is an apocalyptic number.

211242312144 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

211242312144 is an abundant number, since it is smaller than the sum of its proper divisors (379942770162).

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

211242312144 is a wasteful number, since it uses less digits than its factorization.

211242312144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1466960515 (or 1466960506 counting only the distinct ones).

The product of its digits is 3072, while the sum is 27.

Adding to 211242312144 its reverse (441213242112), we get a palindrome (652455554256).

The spelling of 211242312144 in words is "two hundred eleven billion, two hundred forty-two million, three hundred twelve thousand, one hundred forty-four".