11211221112 has 128 divisors (see below), whose sum is σ = 35428646400. Its totient is φ = 2876871168.

The previous prime is 11211221101. The next prime is 11211221137. The reversal of 11211221112 is 21112211211.

It is a happy number.

11211221112 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 11211221091 and 11211221100.

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 31 ways as a sum of consecutive naturals, for example, 11439 + ... + 150177.

It is an arithmetic number, because the mean of its divisors is an integer number (276786300).

Almost surely, 2^11211221112 is an apocalyptic number.

11211221112 is a gapful number since it is divisible by the number (12) 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 11211221112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17714323200).

11211221112 is an abundant number, since it is smaller than the sum of its proper divisors (24217425288).

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

11211221112 is a wasteful number, since it uses less digits than its factorization.

11211221112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 138805 (or 138801 counting only the distinct ones).

The product of its digits is 16, while the sum is 15.

Adding to 11211221112 its reverse (21112211211), we get a palindrome (32323432323).

Subtracting 11211221112 from its reverse (21112211211), we obtain a palindrome (9900990099).

The spelling of 11211221112 in words is "eleven billion, two hundred eleven million, two hundred twenty-one thousand, one hundred twelve".