12245338432512 has 704 divisors, whose sum is σ = 39706009446400. Its totient is φ = 3714683535360.

The previous prime is 12245338432441. The next prime is 12245338432529. The reversal of 12245338432512 is 21523483354221.

12245338432512 is a `hidden beast` number, since 1 + 2 + 2 + 4 + 53 + 3 + 84 + 3 + 2 + 512 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1377888933 + ... + 1377897819.

It is an arithmetic number, because the mean of its divisors is an integer number (56400581600).

Almost surely, 2^{12245338432512} is an apocalyptic number.

12245338432512 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 12245338432512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19853004723200).

12245338432512 is an abundant number, since it is smaller than the sum of its proper divisors (27460671013888).

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

12245338432512 is a wasteful number, since it uses less digits than its factorization.

12245338432512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9039 (or 9015 counting only the distinct ones).

The product of its digits is 1382400, while the sum is 45.

The spelling of 12245338432512 in words is "twelve trillion, two hundred forty-five billion, three hundred thirty-eight million, four hundred thirty-two thousand, five hundred twelve".