12586101 has 16 divisors (see below), whose sum is σ = 18366528. Its totient is φ = 7603200.

The previous prime is 12586097. The next prime is 12586111. The reversal of 12586101 is 10168521.

It is not a de Polignac number, because 12586101 - 2² = 12586097 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12586111) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 18711 + ... + 19371.

It is an arithmetic number, because the mean of its divisors is an integer number (1147908).

Almost surely, 2^12586101 is an apocalyptic number.

12586101 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

12586101 is a deficient number, since it is larger than the sum of its proper divisors (5780427).

12586101 is a wasteful number, since it uses less digits than its factorization.

12586101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1252.

The product of its (nonzero) digits is 480, while the sum is 24.

The square root of 12586101 is about 3547.6895298208. The cubic root of 12586101 is about 232.6110834659.

The spelling of 12586101 in words is "twelve million, five hundred eighty-six thousand, one hundred one".