11011111121120 has 96 divisors (see below), whose sum is σ = 28410852236256. Its totient is φ = 3999494963200.

The previous prime is 11011111121093. The next prime is 11011111121141. The reversal of 11011111121120 is 2112111111011.

It is a junction number, because it is equal to n+sod(n) for n = 11011111121095 and 11011111121104.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2000129 + ... + 5101248.

It is an arithmetic number, because the mean of its divisors is an integer number (295946377461).

Almost surely, 2^{11011111121120} is an apocalyptic number.

11011111121120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11011111121120 is an abundant number, since it is smaller than the sum of its proper divisors (17399741115136).

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

11011111121120 is a wasteful number, since it uses less digits than its factorization.

11011111121120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7102284 (or 7102276 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 14.

Adding to 11011111121120 its reverse (2112111111011), we get a palindrome (13123222232131).

The spelling of 11011111121120 in words is "eleven trillion, eleven billion, one hundred eleven million, one hundred twenty-one thousand, one hundred twenty".