11011120211120 has 20 divisors (see below), whose sum is σ = 25600854491040. Its totient is φ = 4404448084416.

The previous prime is 11011120211101. The next prime is 11011120211137. The reversal of 11011120211120 is 2111202111011.

It is a tau number, because it is divible by the number of its divisors (20).

It is a junction number, because it is equal to n+sod(n) for n = 11011120211095 and 11011120211104.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 68819501240 + ... + 68819501399.

It is an arithmetic number, because the mean of its divisors is an integer number (1280042724552).

Almost surely, 2^{11011120211120} is an apocalyptic number.

11011120211120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11011120211120 is an abundant number, since it is smaller than the sum of its proper divisors (14589734279920).

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

11011120211120 is a wasteful number, since it uses less digits than its factorization.

11011120211120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 137639002652 (or 137639002646 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 14.

Adding to 11011120211120 its reverse (2111202111011), we get a palindrome (13122322322131).

The spelling of 11011120211120 in words is "eleven trillion, eleven billion, one hundred twenty million, two hundred eleven thousand, one hundred twenty".