12041331120 has 720 divisors, whose sum is σ = 51031948032. Its totient is φ = 2490808320.

The previous prime is 12041331089. The next prime is 12041331121. The reversal of 12041331120 is 2113314021.

It is a tau number, because it is divible by the number of its divisors (720).

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 = 12041331093 and 12041331102.

It is not an unprimeable number, because it can be changed into a prime (12041331121) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 57067815 + ... + 57068025.

Almost surely, 2^12041331120 is an apocalyptic number.

12041331120 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 12041331120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25515974016).

12041331120 is an abundant number, since it is smaller than the sum of its proper divisors (38990616912).

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

12041331120 is a wasteful number, since it uses less digits than its factorization.

12041331120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 330 (or 308 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 12041331120 its reverse (2113314021), we get a palindrome (14154645141).

The spelling of 12041331120 in words is "twelve billion, forty-one million, three hundred thirty-one thousand, one hundred twenty".