211122210112 has 112 divisors (see below), whose sum is σ = 488709858240. Its totient is φ = 89424896000.

The previous prime is 211122210107. The next prime is 211122210151. The reversal of 211122210112 is 211012221112.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 1121439 + ... + 1296097.

Almost surely, 2^211122210112 is an apocalyptic number.

211122210112 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 211122210112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (244354929120).

211122210112 is an abundant number, since it is smaller than the sum of its proper divisors (277587648128).

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

211122210112 is a wasteful number, since it uses less digits than its factorization.

211122210112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 174800 (or 174790 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 16.

Adding to 211122210112 its reverse (211012221112), we get a palindrome (422134431224).

The spelling of 211122210112 in words is "two hundred eleven billion, one hundred twenty-two million, two hundred ten thousand, one hundred twelve".