12381282936 has 192 divisors, whose sum is σ = 37560762720. Its totient is φ = 3652546560.

The previous prime is 12381282929. The next prime is 12381283043. The reversal of 12381282936 is 63928218321.

12381282936 is a `hidden beast` number, since 1 + 238 + 128 + 293 + 6 = 666.

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 12381282891 and 12381282900.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5749636 + ... + 5751788.

Almost surely, 2^12381282936 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12381282936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18780381360).

12381282936 is an abundant number, since it is smaller than the sum of its proper divisors (25179479784).

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

12381282936 is a wasteful number, since it uses less digits than its factorization.

12381282936 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2366 (or 2359 counting only the distinct ones).

The product of its digits is 248832, while the sum is 45.

The spelling of 12381282936 in words is "twelve billion, three hundred eighty-one million, two hundred eighty-two thousand, nine hundred thirty-six".