12131070336 has 384 divisors, whose sum is σ = 44426304000. Its totient is φ = 3149798400.

The previous prime is 12131070331. The next prime is 12131070349. The reversal of 12131070336 is 63307013121.

12131070336 is a `hidden beast` number, since 12 + 1 + 310 + 7 + 0 + 336 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12131070331) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4345101 + ... + 4347891.

It is an arithmetic number, because the mean of its divisors is an integer number (115693500).

Almost surely, 2^12131070336 is an apocalyptic number.

12131070336 is a gapful number since it is divisible by the number (16) 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 12131070336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22213152000).

12131070336 is an abundant number, since it is smaller than the sum of its proper divisors (32295233664).

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

12131070336 is a wasteful number, since it uses less digits than its factorization.

12131070336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2843 (or 2814 counting only the distinct ones).

The product of its (nonzero) digits is 2268, while the sum is 27.

Adding to 12131070336 its reverse (63307013121), we get a palindrome (75438083457).

The spelling of 12131070336 in words is "twelve billion, one hundred thirty-one million, seventy thousand, three hundred thirty-six".