12135001085584 has 80 divisors (see below), whose sum is σ = 26194866390000. Its totient is φ = 5407307071488.

The previous prime is 12135001085569. The next prime is 12135001085617. The reversal of 12135001085584 is 48558010053121.

It can be written as a sum of positive squares in 8 ways, for example, as 748965623184 + 11386035462400 = 865428^2 + 3374320^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 12135001085584.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 116057712 + ... + 116162224.

It is an arithmetic number, because the mean of its divisors is an integer number (327435829875).

Almost surely, 2^{12135001085584} is an apocalyptic number.

It is an amenable number.

12135001085584 is an abundant number, since it is smaller than the sum of its proper divisors (14059865304416).

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

12135001085584 is a wasteful number, since it uses less digits than its factorization.

12135001085584 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 123812 (or 123806 counting only the distinct ones).

The product of its (nonzero) digits is 192000, while the sum is 43.

The spelling of 12135001085584 in words is "twelve trillion, one hundred thirty-five billion, one million, eighty-five thousand, five hundred eighty-four".