211211112200 has 192 divisors, whose sum is σ = 555573816000. Its totient is φ = 73969280000.

The previous prime is 211211112179. The next prime is 211211112221. The reversal of 211211112200 is 2211112112.

It is an interprime number because it is at equal distance from previous prime (211211112179) and next prime (211211112221).

It is a super-2 number, since 2×211211112200² (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 26728250 + ... + 26736150.

It is an arithmetic number, because the mean of its divisors is an integer number (2893613625).

Almost surely, 2^211211112200 is an apocalyptic number.

211211112200 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 211211112200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (277786908000).

211211112200 is an abundant number, since it is smaller than the sum of its proper divisors (344362703800).

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

211211112200 is a wasteful number, since it uses less digits than its factorization.

211211112200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8376 (or 8367 counting only the distinct ones).

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

Adding to 211211112200 its reverse (2211112112), we get a palindrome (213422224312).

The spelling of 211211112200 in words is "two hundred eleven billion, two hundred eleven million, one hundred twelve thousand, two hundred".