12903376384128 has 256 divisors, whose sum is σ = 35217241637760. Its totient is φ = 4184347115520.

The previous prime is 12903376384069. The next prime is 12903376384177. The reversal of 12903376384128 is 82148367330921.

It is a Cunningham number, because it is equal to 3592127²-1.

It is a super-2 number, since 2×12903376384128² (a number of 27 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (57) coincides with the sum of the digits of its distinct prime factors.

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 31 ways as a sum of consecutive naturals, for example, 1300345375 + ... + 1300355297.

Almost surely, 2^{12903376384128} 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 12903376384128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17608620818880).

12903376384128 is an abundant number, since it is smaller than the sum of its proper divisors (22313865253632).

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

12903376384128 is a wasteful number, since it uses less digits than its factorization.

12903376384128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10527 (or 10515 counting only the distinct ones).

The product of its (nonzero) digits is 10450944, while the sum is 57.

The spelling of 12903376384128 in words is "twelve trillion, nine hundred three billion, three hundred seventy-six million, three hundred eighty-four thousand, one hundred twenty-eight".