211121111121200 has 480 divisors, whose sum is σ = 619841969574912. Its totient is φ = 67525945344000.

The previous prime is 211121111121197. The next prime is 211121111121209. The reversal of 211121111121200 is 2121111121112.

It is a super-2 number, since 2×211121111121200² (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (211121111121209) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 9064481555 + ... + 9064504845.

Almost surely, 2^{211121111121200} is an apocalyptic number.

211121111121200 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 211121111121200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (309920984787456).

211121111121200 is an abundant number, since it is smaller than the sum of its proper divisors (408720858453712).

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

211121111121200 is a wasteful number, since it uses less digits than its factorization.

211121111121200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26813 (or 26802 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 17.

Adding to 211121111121200 its reverse (2121111121112), we get a palindrome (213242222242312).

The spelling of 211121111121200 in words is "two hundred eleven trillion, one hundred twenty-one billion, one hundred eleven million, one hundred twenty-one thousand, two hundred".