12426425351136 has 240 divisors, whose sum is σ = 36899378485200. Its totient is φ = 4102101522432.

The previous prime is 12426425351117. The next prime is 12426425351141. The reversal of 12426425351136 is 63115352462421.

12426425351136 is a `hidden beast` number, since 1 + 2 + 4 + 264 + 2 + 5 + 351 + 1 + 36 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 12426425351091 and 12426425351100.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 633700500 + ... + 633720108.

It is an arithmetic number, because the mean of its divisors is an integer number (153747410355).

Almost surely, 2^{12426425351136} is an apocalyptic number.

12426425351136 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 12426425351136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18449689242600).

12426425351136 is an abundant number, since it is smaller than the sum of its proper divisors (24472953134064).

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

12426425351136 is a wasteful number, since it uses less digits than its factorization.

12426425351136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21983 (or 21966 counting only the distinct ones).

The product of its digits is 1036800, while the sum is 45.

The spelling of 12426425351136 in words is "twelve trillion, four hundred twenty-six billion, four hundred twenty-five million, three hundred fifty-one thousand, one hundred thirty-six".