211231112240 has 80 divisors (see below), whose sum is σ = 524042277600. Its totient is φ = 78948919296.

The previous prime is 211231112219. The next prime is 211231112243. The reversal of 211231112240 is 42211132112.

211231112240 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 (80).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (211231112243) by changing a digit.

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, 840875 + ... + 1062794.

It is an arithmetic number, because the mean of its divisors is an integer number (6550528470).

Almost surely, 2^211231112240 is an apocalyptic number.

211231112240 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

211231112240 is an abundant number, since it is smaller than the sum of its proper divisors (312811165360).

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

211231112240 is a wasteful number, since it uses less digits than its factorization.

211231112240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1903774 (or 1903768 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 20.

Adding to 211231112240 its reverse (42211132112), we get a palindrome (253442244352).

The spelling of 211231112240 in words is "two hundred eleven billion, two hundred thirty-one million, one hundred twelve thousand, two hundred forty".