211166661112 has 64 divisors (see below), whose sum is σ = 442537603200. Its totient is φ = 93633671040.

The previous prime is 211166661103. The next prime is 211166661119.

211166661112 is nontrivially palindromic in base 10.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (211166661119) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 2980839 + ... + 3050857.

It is an arithmetic number, because the mean of its divisors is an integer number (6914650050).

Almost surely, 2^211166661112 is an apocalyptic number.

211166661112 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 211166661112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (221268801600).

211166661112 is an abundant number, since it is smaller than the sum of its proper divisors (231370942088).

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

211166661112 is a wasteful number, since it uses less digits than its factorization.

211166661112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 70876 (or 70872 counting only the distinct ones).

The product of its digits is 5184, while the sum is 34.

It can be divided in two parts, 211166 and 661112, that added together give a palindrome (872278).

The spelling of 211166661112 in words is "two hundred eleven billion, one hundred sixty-six million, six hundred sixty-one thousand, one hundred twelve".