11011100011120 has 240 divisors, whose sum is σ = 29973542383008. Its totient is φ = 3729645895680.

The previous prime is 11011100011063. The next prime is 11011100011129. The reversal of 11011100011120 is 2111000111011.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a junction number, because it is equal to n+sod(n) for n = 11011100011097 and 11011100011106.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11011100011129) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 24445864 + ... + 24892216.

Almost surely, 2^{11011100011120} is an apocalyptic number.

11011100011120 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 11011100011120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14986771191504).

11011100011120 is an abundant number, since it is smaller than the sum of its proper divisors (18962442371888).

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

11011100011120 is a wasteful number, since it uses less digits than its factorization.

11011100011120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 446508 (or 446485 counting only the distinct ones).

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

Adding to 11011100011120 its reverse (2111000111011), we get a palindrome (13122100122131).

The spelling of 11011100011120 in words is "eleven trillion, eleven billion, one hundred million, eleven thousand, one hundred twenty".