11205011010112 has 112 divisors (see below), whose sum is σ = 23354706493440. Its totient is φ = 5323675027968.

The previous prime is 11205011010101. The next prime is 11205011010113. The reversal of 11205011010112 is 21101011050211.

It is a super-2 number, since 2×11205011010112² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is not an unprimeable number, because it can be changed into a prime (11205011010113) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 157198993 + ... + 157270255.

It is an arithmetic number, because the mean of its divisors is an integer number (208524165120).

Almost surely, 2^{11205011010112} 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 11205011010112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11677353246720).

11205011010112 is an abundant number, since it is smaller than the sum of its proper divisors (12149695483328).

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

11205011010112 is a wasteful number, since it uses less digits than its factorization.

11205011010112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 72000 (or 71990 counting only the distinct ones).

The product of its (nonzero) digits is 20, while the sum is 16.

Adding to 11205011010112 its reverse (21101011050211), we get a palindrome (32306022060323).

The spelling of 11205011010112 in words is "eleven trillion, two hundred five billion, eleven million, ten thousand, one hundred twelve".