11114421120 has 576 divisors, whose sum is σ = 43426393920. Its totient is φ = 2615500800.

The previous prime is 11114421119. The next prime is 11114421151. The reversal of 11114421120 is 2112441111.

11114421120 is a `hidden beast` number, since 1 + 111 + 442 + 112 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 11114421093 and 11114421102.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 25787305 + ... + 25787735.

It is an arithmetic number, because the mean of its divisors is an integer number (75393045).

Almost surely, 2^11114421120 is an apocalyptic number.

11114421120 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 11114421120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21713196960).

11114421120 is an abundant number, since it is smaller than the sum of its proper divisors (32311972800).

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

11114421120 is a wasteful number, since it uses less digits than its factorization.

11114421120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 515 (or 489 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 11114421120 its reverse (2112441111), we get a palindrome (13226862231).

It can be divided in two parts, 11114 and 421120, that added together give a palindrome (432234).

The spelling of 11114421120 in words is "eleven billion, one hundred fourteen million, four hundred twenty-one thousand, one hundred twenty".