211041140112 has 240 divisors, whose sum is σ = 685020405888. Its totient is φ = 60016619520.

The previous prime is 211041140077. The next prime is 211041140153.

211041140112 is a `hidden beast` number, since 211 + 0 + 41 + 1 + 401 + 12 = 666.

211041140112 is nontrivially palindromic in base 10.

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1876248 + ... + 1985544.

Almost surely, 2^211041140112 is an apocalyptic number.

211041140112 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 211041140112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (342510202944).

211041140112 is an abundant number, since it is smaller than the sum of its proper divisors (473979265776).

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

211041140112 is a wasteful number, since it uses less digits than its factorization.

211041140112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 109398 (or 109389 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

It can be divided in two parts, 211041 and 140112, that added together give a palindrome (351153).

The spelling of 211041140112 in words is "two hundred eleven billion, forty-one million, one hundred forty thousand, one hundred twelve".