211111000121112 has 256 divisors, whose sum is σ = 667200988016640. Its totient is φ = 54166924578816.

The previous prime is 211111000121069. The next prime is 211111000121173. The reversal of 211111000121112 is 211121000111112.

It is a junction number, because it is equal to n+sod(n) for n = 211111000121091 and 211111000121100.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 767296033 + ... + 767571119.

It is an arithmetic number, because the mean of its divisors is an integer number (2606253859440).

Almost surely, 2^{211111000121112} 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 211111000121112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (333600494008320).

211111000121112 is an abundant number, since it is smaller than the sum of its proper divisors (456089987895528).

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

211111000121112 is a wasteful number, since it uses less digits than its factorization.

211111000121112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 284650 (or 284646 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 15.

Adding to 211111000121112 its reverse (211121000111112), we get a palindrome (422232000232224).

It can be divided in two parts, 211111000 and 121112, that added together give a palindrome (211232112).

The spelling of 211111000121112 in words is "two hundred eleven trillion, one hundred eleven billion, one hundred twenty-one thousand, one hundred twelve".