12138356736 has 280 divisors, whose sum is σ = 39583425024. Its totient is φ = 3676078080.

The previous prime is 12138356731. The next prime is 12138356753. The reversal of 12138356736 is 63765383121.

12138356736 is a `hidden beast` number, since 1 + 2 + 1 + 3 + 83 + 567 + 3 + 6 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 12138356691 and 12138356700.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12138356731) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 7298241 + ... + 7299903.

Almost surely, 2^12138356736 is an apocalyptic number.

12138356736 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 12138356736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19791712512).

12138356736 is an abundant number, since it is smaller than the sum of its proper divisors (27445068288).

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

12138356736 is an equidigital number, since it uses as much as digits as its factorization.

12138356736 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1712 (or 1679 counting only the distinct ones).

The product of its digits is 544320, while the sum is 45.

The spelling of 12138356736 in words is "twelve billion, one hundred thirty-eight million, three hundred fifty-six thousand, seven hundred thirty-six".