11110111120000 has 640 divisors, whose sum is σ = 29485901491200. Its totient is φ = 4161024000000.

The previous prime is 11110111119973. The next prime is 11110111120019. The reversal of 11110111120000 is 2111101111.

It is a tau number, because it is divible by the number of its divisors (640).

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 79 ways as a sum of consecutive naturals, for example, 25777519785 + ... + 25777520215.

It is an arithmetic number, because the mean of its divisors is an integer number (46071721080).

Almost surely, 2^{11110111120000} is an apocalyptic number.

11110111120000 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 11110111120000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14742950745600).

11110111120000 is an abundant number, since it is smaller than the sum of its proper divisors (18375790371200).

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

11110111120000 is an equidigital number, since it uses as much as digits as its factorization.

11110111120000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 806 (or 779 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 10.

Adding to 11110111120000 its reverse (2111101111), we get a palindrome (11112222221111).

It can be divided in two parts, 111101111 and 20000, that added together give a palindrome (111121111).

The spelling of 11110111120000 in words is "eleven trillion, one hundred ten billion, one hundred eleven million, one hundred twenty thousand".