211000122112 has 144 divisors (see below), whose sum is σ = 479104181248. Its totient is φ = 92049592320.

The previous prime is 211000122103. The next prime is 211000122167. The reversal of 211000122112 is 211221000112.

It is a super-2 number, since 2×211000122112² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (13).

It is a junction number, because it is equal to n+sod(n) for n = 211000122092 and 211000122101.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4412443 + ... + 4460005.

Almost surely, 2^211000122112 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 211000122112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (239552090624).

211000122112 is an abundant number, since it is smaller than the sum of its proper divisors (268104059136).

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

211000122112 is a wasteful number, since it uses less digits than its factorization.

211000122112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 47666 (or 47652 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 211000122112 its reverse (211221000112), we get a palindrome (422221122224).

The spelling of 211000122112 in words is "two hundred eleven billion, one hundred twenty-two thousand, one hundred twelve".