11200001120112 has 160 divisors (see below), whose sum is σ = 33962769100800. Its totient is φ = 3113293307904.

The previous prime is 11200001120111. The next prime is 11200001120137. The reversal of 11200001120112 is 21102110000211.

11200001120112 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

11200001120112 is a modest number, since divided by 1120112 gives 112000 as remainder.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11200001120111) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 262157089 + ... + 262199807.

It is an arithmetic number, because the mean of its divisors is an integer number (212267306880).

Almost surely, 2^{11200001120112} is an apocalyptic number.

11200001120112 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 11200001120112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16981384550400).

11200001120112 is an abundant number, since it is smaller than the sum of its proper divisors (22762767980688).

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

11200001120112 is a wasteful number, since it uses less digits than its factorization.

11200001120112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 63863 (or 63857 counting only the distinct ones).

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

Adding to 11200001120112 its reverse (21102110000211), we get a palindrome (32302111120323).

The spelling of 11200001120112 in words is "eleven trillion, two hundred billion, one million, one hundred twenty thousand, one hundred twelve".