11120002002112 has 112 divisors (see below), whose sum is σ = 22565468395008. Its totient is φ = 5435578368000.

The previous prime is 11120002002079. The next prime is 11120002002119. The reversal of 11120002002112 is 21120020002111.

It is a junction number, because it is equal to n+sod(n) for n = 11120002002092 and 11120002002101.

It is not an unprimeable number, because it can be changed into a prime (11120002002119) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 463302112 + ... + 463326112.

It is an arithmetic number, because the mean of its divisors is an integer number (201477396384).

Almost surely, 2^{11120002002112} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11120002002112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11282734197504).

11120002002112 is an abundant number, since it is smaller than the sum of its proper divisors (11445466392896).

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

11120002002112 is a wasteful number, since it uses less digits than its factorization.

11120002002112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24894 (or 24884 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 11120002002112 its reverse (21120020002111), we get a palindrome (32240022004223).

The spelling of 11120002002112 in words is "eleven trillion, one hundred twenty billion, two million, two thousand, one hundred twelve".