11114401120 has 96 divisors (see below), whose sum is σ = 28108684800. Its totient is φ = 4140320256.

The previous prime is 11114401091. The next prime is 11114401141. The reversal of 11114401120 is 2110441111.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 11114401094 and 11114401103.

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, 148377 + ... + 210343.

It is an arithmetic number, because the mean of its divisors is an integer number (292798800).

Almost surely, 2^11114401120 is an apocalyptic number.

11114401120 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 11114401120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14054342400).

11114401120 is an abundant number, since it is smaller than the sum of its proper divisors (16994283680).

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

11114401120 is a wasteful number, since it uses less digits than its factorization.

11114401120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 62060 (or 62052 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 16.

Adding to 11114401120 its reverse (2110441111), we get a palindrome (13224842231).

The spelling of 11114401120 in words is "eleven billion, one hundred fourteen million, four hundred one thousand, one hundred twenty".