211200001012 has 144 divisors (see below), whose sum is σ = 499603773312. Its totient is φ = 75860029440.

The previous prime is 211200001003. The next prime is 211200001081. The reversal of 211200001012 is 210100002112.

It is a self number, because there is not a number n which added to its sum of digits gives 211200001012.

It is a congruent number.

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, 50852728 + ... + 50856880.

It is an arithmetic number, because the mean of its divisors is an integer number (3469470648).

Almost surely, 2^211200001012 is an apocalyptic number.

211200001012 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 211200001012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (249801886656).

211200001012 is an abundant number, since it is smaller than the sum of its proper divisors (288403772300).

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

211200001012 is a wasteful number, since it uses less digits than its factorization.

211200001012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5178 (or 5163 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 211200001012 its reverse (210100002112), we get a palindrome (421300003124).

The spelling of 211200001012 in words is "two hundred eleven billion, two hundred million, one thousand, twelve".