11121002112 has 128 divisors (see below), whose sum is σ = 32369169600. Its totient is φ = 3354992640.

The previous prime is 11121002111. The next prime is 11121002147. The reversal of 11121002112 is 21120012111.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is not an unprimeable number, because it can be changed into a prime (11121002111) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 961548 + ... + 973044.

Almost surely, 2^11121002112 is an apocalyptic number.

11121002112 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 11121002112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16184584800).

11121002112 is an abundant number, since it is smaller than the sum of its proper divisors (21248167488).

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

11121002112 is a wasteful number, since it uses less digits than its factorization.

11121002112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11754 (or 11742 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 11121002112 its reverse (21120012111), we get a palindrome (32241014223).

Subtracting 11121002112 from its reverse (21120012111), we obtain a palindrome (9999009999).

The spelling of 11121002112 in words is "eleven billion, one hundred twenty-one million, two thousand, one hundred twelve".