12434313210012 has 144 divisors (see below), whose sum is σ = 31970273287680. Its totient is φ = 4074048316800.

The previous prime is 12434313209953. The next prime is 12434313210029. The reversal of 12434313210012 is 21001231343421.

12434313210012 is a `hidden beast` number, since 1 + 2 + 4 + 3 + 431 + 3 + 210 + 0 + 12 = 666.

12434313210012 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×12434313210012² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2344766953 + ... + 2344772255.

It is an arithmetic number, because the mean of its divisors is an integer number (222015786720).

Almost surely, 2^{12434313210012} is an apocalyptic number.

12434313210012 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 12434313210012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15985136643840).

12434313210012 is an abundant number, since it is smaller than the sum of its proper divisors (19535960077668).

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

12434313210012 is a wasteful number, since it uses less digits than its factorization.

12434313210012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7984 (or 7979 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

Adding to 12434313210012 its reverse (21001231343421), we get a palindrome (33435544553433).

The spelling of 12434313210012 in words is "twelve trillion, four hundred thirty-four billion, three hundred thirteen million, two hundred ten thousand, twelve".