211242242242112 has 224 divisors, whose sum is σ = 464721061432320. Its totient is φ = 94820501422080.

The previous prime is 211242242242093. The next prime is 211242242242121.

211242242242112 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (32).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1094473937 + ... + 1094666927.

It is an arithmetic number, because the mean of its divisors is an integer number (2074647595680).

Almost surely, 2^{211242242242112} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 211242242242112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (232360530716160).

211242242242112 is an abundant number, since it is smaller than the sum of its proper divisors (253478819190208).

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

211242242242112 is a wasteful number, since it uses less digits than its factorization.

211242242242112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 193469 (or 193459 counting only the distinct ones).

The product of its digits is 16384, while the sum is 32.

The spelling of 211242242242112 in words is "two hundred eleven trillion, two hundred forty-two billion, two hundred forty-two million, two hundred forty-two thousand, one hundred twelve".