12451672242 has 64 divisors (see below), whose sum is σ = 28891883520. Its totient is φ = 3967563600.

The previous prime is 12451672241. The next prime is 12451672297. The reversal of 12451672242 is 24227615421.

12451672242 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 12451672197 and 12451672206.

It is not an unprimeable number, because it can be changed into a prime (12451672241) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3390067 + ... + 3393737.

It is an arithmetic number, because the mean of its divisors is an integer number (451435680).

Almost surely, 2^12451672242 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12451672242, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14445941760).

12451672242 is an abundant number, since it is smaller than the sum of its proper divisors (16440211278).

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

12451672242 is a wasteful number, since it uses less digits than its factorization.

12451672242 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6436 (or 6430 counting only the distinct ones).

The product of its digits is 53760, while the sum is 36.

The spelling of 12451672242 in words is "twelve billion, four hundred fifty-one million, six hundred seventy-two thousand, two hundred forty-two".