211121121200 has 60 divisors (see below), whose sum is σ = 553329277368. Its totient is φ = 76771315200.

The previous prime is 211121121187. The next prime is 211121121217. The reversal of 211121121200 is 2121121112.

211121121200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 23986637 + ... + 23995436.

Almost surely, 2^211121121200 is an apocalyptic number.

211121121200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

211121121200 is an abundant number, since it is smaller than the sum of its proper divisors (342208156168).

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

211121121200 is a wasteful number, since it uses less digits than its factorization.

211121121200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 47982102 (or 47982091 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 211121121200 its reverse (2121121112), we get a palindrome (213242242312).

The spelling of 211121121200 in words is "two hundred eleven billion, one hundred twenty-one million, one hundred twenty-one thousand, two hundred".