11001120112112 has 80 divisors (see below), whose sum is σ = 23121829379040. Its totient is φ = 5040381772800.

The previous prime is 11001120112079. The next prime is 11001120112153. The reversal of 11001120112112 is 21121102110011.

11001120112112 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×11001120112112² (a number of 27 digits) contains 22 as substring.

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, 450465662 + ... + 450490082.

It is an arithmetic number, because the mean of its divisors is an integer number (289022867238).

Almost surely, 2^{11001120112112} 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 11001120112112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11560914689520).

11001120112112 is an abundant number, since it is smaller than the sum of its proper divisors (12120709266928).

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

11001120112112 is a wasteful number, since it uses less digits than its factorization.

11001120112112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 40162 (or 40156 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 14.

Adding to 11001120112112 its reverse (21121102110011), we get a palindrome (32122222222123).

The spelling of 11001120112112 in words is "eleven trillion, one billion, one hundred twenty million, one hundred twelve thousand, one hundred twelve".