11111123120 has 80 divisors (see below), whose sum is σ = 26383980960. Its totient is φ = 4350720000.

The previous prime is 11111123113. The next prime is 11111123129. The reversal of 11111123120 is 2132111111.

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

It is a junction number, because it is equal to n+sod(n) for n = 11111123095 and 11111123104.

It is not an unprimeable number, because it can be changed into a prime (11111123129) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 711395 + ... + 726845.

It is an arithmetic number, because the mean of its divisors is an integer number (329799762).

Almost surely, 2^11111123120 is an apocalyptic number.

11111123120 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 11111123120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13191990480).

11111123120 is an abundant number, since it is smaller than the sum of its proper divisors (15272857840).

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

11111123120 is a wasteful number, since it uses less digits than its factorization.

11111123120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15654 (or 15648 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 14.

Adding to 11111123120 its reverse (2132111111), we get a palindrome (13243234231).

The spelling of 11111123120 in words is "eleven billion, one hundred eleven million, one hundred twenty-three thousand, one hundred twenty".