11120110011000 has 192 divisors, whose sum is σ = 37588761381600. Its totient is φ = 2965142592000.

The previous prime is 11120110010941. The next prime is 11120110011001. The reversal of 11120110011000 is 11001102111.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11120110011001) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 147661356 + ... + 147736644.

Almost surely, 2^{11120110011000} is an apocalyptic number.

11120110011000 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 11120110011000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18794380690800).

11120110011000 is an abundant number, since it is smaller than the sum of its proper divisors (26468651370600).

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

11120110011000 is a wasteful number, since it uses less digits than its factorization.

11120110011000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 91727 (or 91710 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 9.

Adding to 11120110011000 its reverse (11001102111), we get a palindrome (11131111113111).

The spelling of 11120110011000 in words is "eleven trillion, one hundred twenty billion, one hundred ten million, eleven thousand".