12982703067828 has 324 divisors, whose sum is σ = 38173704872940. Its totient is φ = 3856892143104.

The previous prime is 12982703067827. The next prime is 12982703067839. The reversal of 12982703067828 is 82876030728921.

12982703067828 is a `hidden beast` number, since 1 + 298 + 270 + 3 + 0 + 6 + 78 + 2 + 8 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 4180397338404 + 8802305729424 = 2044602^2 + 2966868^2 .

It is a tau number, because it is divible by the number of its divisors (324).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12982703067823) by changing a digit.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 128571376 + ... + 128672312.

Almost surely, 2^{12982703067828} is an apocalyptic number.

12982703067828 is a gapful number since it is divisible by the number (18) 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 12982703067828, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19086852436470).

12982703067828 is an abundant number, since it is smaller than the sum of its proper divisors (25191001805112).

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

12982703067828 is a wasteful number, since it uses less digits than its factorization.

12982703067828 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 101020 (or 100984 counting only the distinct ones).

The product of its (nonzero) digits is 32514048, while the sum is 63.

The spelling of 12982703067828 in words is "twelve trillion, nine hundred eighty-two billion, seven hundred three million, sixty-seven thousand, eight hundred twenty-eight".