11011200202112 has 128 divisors (see below), whose sum is σ = 24135875337600. Its totient is φ = 4962322391040.

The previous prime is 11011200202043. The next prime is 11011200202127. The reversal of 11011200202112 is 21120200211011.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 84869963 + ... + 84999605.

It is an arithmetic number, because the mean of its divisors is an integer number (188561526075).

Almost surely, 2^{11011200202112} 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 11011200202112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12067937668800).

11011200202112 is an abundant number, since it is smaller than the sum of its proper divisors (13124675135488).

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

11011200202112 is a wasteful number, since it uses less digits than its factorization.

11011200202112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 130184 (or 130172 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 11011200202112 its reverse (21120200211011), we get a palindrome (32131400413123).

The spelling of 11011200202112 in words is "eleven trillion, eleven billion, two hundred million, two hundred two thousand, one hundred twelve".