211121210211200 has 192 divisors, whose sum is σ = 535240824426000. Its totient is φ = 82255520563200.

The previous prime is 211121210211143. The next prime is 211121210211313. The reversal of 211121210211200 is 2112012121112.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 15449720 + ... + 25708680.

Almost surely, 2^{211121210211200} is an apocalyptic number.

211121210211200 is a gapful number since it is divisible by the number (20) 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 211121210211200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (267620412213000).

211121210211200 is an abundant number, since it is smaller than the sum of its proper divisors (324119614214800).

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

211121210211200 is a wasteful number, since it uses less digits than its factorization.

211121210211200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10259153 (or 10259136 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 17.

Adding to 211121210211200 its reverse (2112012121112), we get a palindrome (213233222332312).

The spelling of 211121210211200 in words is "two hundred eleven trillion, one hundred twenty-one billion, two hundred ten million, two hundred eleven thousand, two hundred".