11201147712 has 84 divisors (see below), whose sum is σ = 32321792100. Its totient is φ = 3708628992.

The previous prime is 11201147693. The next prime is 11201147719. The reversal of 11201147712 is 21774110211.

11201147712 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 4519066176 + 6682081536 = 67224^2 + 81744^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11201147719) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 20568 + ... + 151080.

Almost surely, 2^11201147712 is an apocalyptic number.

11201147712 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 11201147712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16160896050).

11201147712 is an abundant number, since it is smaller than the sum of its proper divisors (21120644388).

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

11201147712 is a wasteful number, since it uses less digits than its factorization.

11201147712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 130680 (or 130667 counting only the distinct ones).

The product of its (nonzero) digits is 784, while the sum is 27.

Adding to 11201147712 its reverse (21774110211), we get a palindrome (32975257923).

The spelling of 11201147712 in words is "eleven billion, two hundred one million, one hundred forty-seven thousand, seven hundred twelve".