11001332112 has 80 divisors (see below), whose sum is σ = 29572750080. Its totient is φ = 3521330176.

The previous prime is 11001332107. The next prime is 11001332113. The reversal of 11001332112 is 21123310011.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 11001332091 and 11001332100.

It is not an unprimeable number, because it can be changed into a prime (11001332113) 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, 73564 + ... + 165572.

It is an arithmetic number, because the mean of its divisors is an integer number (369659376).

Almost surely, 2^11001332112 is an apocalyptic number.

11001332112 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 11001332112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14786375040).

11001332112 is an abundant number, since it is smaller than the sum of its proper divisors (18571417968).

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

11001332112 is a wasteful number, since it uses less digits than its factorization.

11001332112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 92120 (or 92114 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 15.

Adding to 11001332112 its reverse (21123310011), we get a palindrome (32124642123).

The spelling of 11001332112 in words is "eleven billion, one million, three hundred thirty-two thousand, one hundred twelve".