12011011000110 has 384 divisors, whose sum is σ = 36337707095040. Its totient is φ = 2730309120000.

The previous prime is 12011011000067. The next prime is 12011011000147. The reversal of 12011011000110 is 1100011011021.

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

It is a junction number, because it is equal to n+sod(n) for n = 12011011000092 and 12011011000101.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1906203960 + ... + 1906210260.

It is an arithmetic number, because the mean of its divisors is an integer number (94629445560).

Almost surely, 2^{12011011000110} is an apocalyptic number.

12011011000110 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 12011011000110, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18168853547520).

12011011000110 is an abundant number, since it is smaller than the sum of its proper divisors (24326696094930).

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

12011011000110 is a wasteful number, since it uses less digits than its factorization.

12011011000110 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9224 (or 9221 counting only the distinct ones).

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

Adding to 12011011000110 its reverse (1100011011021), we get a palindrome (13111022011131).

The spelling of 12011011000110 in words is "twelve trillion, eleven billion, eleven million, one hundred ten", and thus it is an aban number.