11130112000 has 192 divisors, whose sum is σ = 31746798720. Its totient is φ = 3815424000.

The previous prime is 11130111991. The next prime is 11130112013. The reversal of 11130112000 is 21103111.

It is a Harshad number since it is a multiple of its sum of digits (10).

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, 1788895 + ... + 1795105.

It is an arithmetic number, because the mean of its divisors is an integer number (165347910).

Almost surely, 2^11130112000 is an apocalyptic number.

11130112000 is a gapful number since it is divisible by the number (10) 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 11130112000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15873399360).

11130112000 is an abundant number, since it is smaller than the sum of its proper divisors (20616686720).

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

11130112000 is an frugal number, since it uses more digits than its factorization.

11130112000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6255 (or 6225 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 10.

Adding to 11130112000 its reverse (21103111), we get a palindrome (11151215111).

The spelling of 11130112000 in words is "eleven billion, one hundred thirty million, one hundred twelve thousand".