12986527612201 has 48 divisors (see below), whose sum is σ = 16278731254800. Its totient is φ = 10255488122880.

The previous prime is 12986527612129. The next prime is 12986527612211. The reversal of 12986527612201 is 10221672568921.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 233022460176 + 12753505152025 = 482724^2 + 3571205^2 .

It is not a de Polignac number, because 12986527612201 - 2⁹ = 12986527611689 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (12986527612211) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 262812585 + ... + 262861993.

It is an arithmetic number, because the mean of its divisors is an integer number (339140234475).

Almost surely, 2^{12986527612201} is an apocalyptic number.

12986527612201 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

12986527612201 is a deficient number, since it is larger than the sum of its proper divisors (3292203642599).

12986527612201 is a wasteful number, since it uses less digits than its factorization.

12986527612201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 59290 (or 59279 counting only the distinct ones).

The product of its (nonzero) digits is 1451520, while the sum is 52.

The spelling of 12986527612201 in words is "twelve trillion, nine hundred eighty-six billion, five hundred twenty-seven million, six hundred twelve thousand, two hundred one".