11121000002112 has 896 divisors, whose sum is σ = 41187183722496. Its totient is φ = 2554675200000.

The previous prime is 11121000002069. The next prime is 11121000002141. The reversal of 11121000002112 is 21120000012111.

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

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 127 ways as a sum of consecutive naturals, for example, 601743912 + ... + 601762392.

It is an arithmetic number, because the mean of its divisors is an integer number (45967838976).

Almost surely, 2^{11121000002112} is an apocalyptic number.

11121000002112 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 11121000002112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20593591861248).

11121000002112 is an abundant number, since it is smaller than the sum of its proper divisors (30066183720384).

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

11121000002112 is a wasteful number, since it uses less digits than its factorization.

11121000002112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18659 (or 18649 counting only the distinct ones).

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

Adding to 11121000002112 its reverse (21120000012111), we get a palindrome (32241000014223).

Subtracting 11121000002112 from its reverse (21120000012111), we obtain a palindrome (9999000009999).

The spelling of 11121000002112 in words is "eleven trillion, one hundred twenty-one billion, two thousand, one hundred twelve".