211121200220112 has 640 divisors, whose sum is σ = 785468726784000. Its totient is φ = 52724736276480.

The previous prime is 211121200220111. The next prime is 211121200220221. The reversal of 211121200220112 is 211022002121112.

211121200220112 is a `hidden beast` number, since 2 + 11 + 121 + 200 + 220 + 112 = 666.

It is a super-2 number, since 2×211121200220112² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (211121200220111) by changing a digit.

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 127 ways as a sum of consecutive naturals, for example, 1599106839 + ... + 1599238857.

It is an arithmetic number, because the mean of its divisors is an integer number (1227294885600).

Almost surely, 2^{211121200220112} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 211121200220112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (392734363392000).

211121200220112 is an abundant number, since it is smaller than the sum of its proper divisors (574347526563888).

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

211121200220112 is a wasteful number, since it uses less digits than its factorization.

211121200220112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 134216 (or 134204 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 211121200220112 its reverse (211022002121112), we get a palindrome (422143202341224).

The spelling of 211121200220112 in words is "two hundred eleven trillion, one hundred twenty-one billion, two hundred million, two hundred twenty thousand, one hundred twelve".