12344520525012 has 216 divisors, whose sum is σ = 34781702397624. Its totient is φ = 3688219312128.

The previous prime is 12344520524977. The next prime is 12344520525023. The reversal of 12344520525012 is 21052502544321.

12344520525012 is a `hidden beast` number, since 1 + 2 + 3 + 445 + 205 + 2 + 5 + 0 + 1 + 2 = 666.

It can be written as a sum of positive squares in 12 ways, for example, as 1287126554256 + 11057393970756 = 1134516^2 + 3325266^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 31080508 + ... + 31475180.

It is an arithmetic number, because the mean of its divisors is an integer number (161026399989).

Almost surely, 2^{12344520525012} is an apocalyptic number.

12344520525012 is a gapful number since it is divisible by the number (12) 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 12344520525012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17390851198812).

12344520525012 is an abundant number, since it is smaller than the sum of its proper divisors (22437181872612).

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

12344520525012 is a wasteful number, since it uses less digits than its factorization.

12344520525012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 394859 (or 394841 counting only the distinct ones).

The product of its (nonzero) digits is 96000, while the sum is 36.

The spelling of 12344520525012 in words is "twelve trillion, three hundred forty-four billion, five hundred twenty million, five hundred twenty-five thousand, twelve".