211200112112 has 120 divisors (see below), whose sum is σ = 456027812352. Its totient is φ = 94671322240.

The previous prime is 211200112099. The next prime is 211200112117. The reversal of 211200112112 is 211211002112.

It is a super-2 number, since 2×211200112112² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (211200112117) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 138672983 + ... + 138674505.

Almost surely, 2^211200112112 is an apocalyptic number.

211200112112 is a gapful number since it is divisible by the number (22) 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 211200112112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (228013906176).

211200112112 is an abundant number, since it is smaller than the sum of its proper divisors (244827700240).

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

211200112112 is a wasteful number, since it uses less digits than its factorization.

211200112112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2499 (or 2482 counting only the distinct ones).

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

Adding to 211200112112 its reverse (211211002112), we get a palindrome (422411114224).

Subtracting 211200112112 from its reverse (211211002112), we obtain a square (10890000 = 3300²).

The spelling of 211200112112 in words is "two hundred eleven billion, two hundred million, one hundred twelve thousand, one hundred twelve".