211121222111200 has 144 divisors (see below), whose sum is σ = 515695929754320. Its totient is φ = 84399964139520.

The previous prime is 211121222111147. The next prime is 211121222111221. The reversal of 211121222111200 is 2111222121112.

It is a happy number.

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 13864917987 + ... + 13864933213.

It is an arithmetic number, because the mean of its divisors is an integer number (3581221734405).

Almost surely, 2^{211121222111200} is an apocalyptic number.

211121222111200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

211121222111200 is an abundant number, since it is smaller than the sum of its proper divisors (304574707643120).

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

211121222111200 is a wasteful number, since it uses less digits than its factorization.

211121222111200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24069 (or 24056 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 19.

Adding to 211121222111200 its reverse (2111222121112), we get a palindrome (213232444232312).

The spelling of 211121222111200 in words is "two hundred eleven trillion, one hundred twenty-one billion, two hundred twenty-two million, one hundred eleven thousand, two hundred".