111001110000000 has 1024 divisors, whose sum is σ = 412974630282240. Its totient is φ = 26179200000000.

The previous prime is 111001109999999. The next prime is 111001110000029. The reversal of 111001110000000 is 11100111.

It is a Harshad number since it is a multiple of its sum of digits (6).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is a zygodrome in base 10.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 12209995455 + ... + 12210004545.

It is an arithmetic number, because the mean of its divisors is an integer number (403295537385).

Almost surely, 2^{111001110000000} is an apocalyptic number.

111001110000000 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 111001110000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (206487315141120).

111001110000000 is an abundant number, since it is smaller than the sum of its proper divisors (301973520282240).

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

111001110000000 is an frugal number, since it uses more digits than its factorization.

111001110000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9191 (or 9149 counting only the distinct ones).

The product of its (nonzero) digits is 1, while the sum is 6.

Adding to 111001110000000 its reverse (11100111), we get a palindrome (111001121100111).

111001110000000 divided by its reverse (11100111) gives a 7-th power (10000000 = 10⁷).

The spelling of 111001110000000 in words is "one hundred eleven trillion, one billion, one hundred ten million", and thus it is an aban number.