211032230112 has 72 divisors (see below), whose sum is σ = 654679541880. Its totient is φ = 63949159680.

The previous prime is 211032230099. The next prime is 211032230147.

211032230112 is a `hidden beast` number, since 21 + 10 + 322 + 301 + 12 = 666.

211032230112 is nontrivially palindromic in base 10.

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 33303687 + ... + 33310022.

It is an arithmetic number, because the mean of its divisors is an integer number (9092771415).

Almost surely, 2^211032230112 is an apocalyptic number.

211032230112 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

211032230112 is an abundant number, since it is smaller than the sum of its proper divisors (443647311768).

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

211032230112 is a wasteful number, since it uses less digits than its factorization.

211032230112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 66613736 (or 66613725 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

It can be divided in two parts, 211032 and 230112, that added together give a palindrome (441144).

The spelling of 211032230112 in words is "two hundred eleven billion, thirty-two million, two hundred thirty thousand, one hundred twelve".