110111110011120 has 80 divisors (see below), whose sum is σ = 341393230640160. Its totient is φ = 29358765714432.

The previous prime is 110111110011079. The next prime is 110111110011121. The reversal of 110111110011120 is 21110011111011.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 110111110011096 and 110111110011105.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (110111110011121) 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, 31105935 + ... + 34464494.

It is an arithmetic number, because the mean of its divisors is an integer number (4267415383002).

Almost surely, 2^{110111110011120} is an apocalyptic number.

110111110011120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

110111110011120 is an abundant number, since it is smaller than the sum of its proper divisors (231282120629040).

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

110111110011120 is a wasteful number, since it uses less digits than its factorization.

110111110011120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 65577442 (or 65577436 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 12.

Adding to 110111110011120 its reverse (21110011111011), we get a palindrome (131221121122131).

The spelling of 110111110011120 in words is "one hundred ten trillion, one hundred eleven billion, one hundred ten million, eleven thousand, one hundred twenty".