12903353819136 has 336 divisors, whose sum is σ = 40912516213920. Its totient is φ = 3886079016960.

The previous prime is 12903353819093. The next prime is 12903353819141. The reversal of 12903353819136 is 63191835330921.

12903353819136 is a `hidden beast` number, since 1 + 2 + 90 + 3 + 3 + 538 + 1 + 9 + 13 + 6 = 666.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 132145500 + ... + 132243108.

Almost surely, 2^{12903353819136} is an apocalyptic number.

12903353819136 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 12903353819136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20456258106960).

12903353819136 is an abundant number, since it is smaller than the sum of its proper divisors (28009162394784).

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

12903353819136 is a wasteful number, since it uses less digits than its factorization.

12903353819136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 97815 (or 97788 counting only the distinct ones).

The product of its (nonzero) digits is 3149280, while the sum is 54.

The spelling of 12903353819136 in words is "twelve trillion, nine hundred three billion, three hundred fifty-three million, eight hundred nineteen thousand, one hundred thirty-six".