11140412241120 has 48 divisors (see below), whose sum is σ = 35092298561040. Its totient is φ = 2970776597504.

The previous prime is 11140412241089. The next prime is 11140412241137. The reversal of 11140412241120 is 2114221404111.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 11604595605 + ... + 11604596564.

It is an arithmetic number, because the mean of its divisors is an integer number (731089553355).

Almost surely, 2^{11140412241120} is an apocalyptic number.

11140412241120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11140412241120 is an abundant number, since it is smaller than the sum of its proper divisors (23951886319920).

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

11140412241120 is a wasteful number, since it uses less digits than its factorization.

11140412241120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23209192187 (or 23209192179 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 24.

Adding to 11140412241120 its reverse (2114221404111), we get a palindrome (13254633645231).

The spelling of 11140412241120 in words is "eleven trillion, one hundred forty billion, four hundred twelve million, two hundred forty-one thousand, one hundred twenty".