12365217601 has 15 divisors (see below), whose sum is σ = 13616471505. Its totient is φ = 11228875020.

The previous prime is 12365217589. The next prime is 12365217649. The reversal of 12365217601 is 10671256321.

The square root of 12365217601 is 111199.

It is a perfect power (a square), and thus also a powerful number.

It is not a de Polignac number, because 12365217601 - 2⁹ = 12365217089 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (12365217691) by changing a digit.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 13454620 + ... + 13455538.

It is an arithmetic number, because the mean of its divisors is an integer number (907764767).

Almost surely, 2^12365217601 is an apocalyptic number.

12365217601 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

12365217601 is the 111199-th square number.

12365217601 is the 55600-th centered octagonal number.

It is an amenable number.

12365217601 is a deficient number, since it is larger than the sum of its proper divisors (1251253904).

12365217601 is an frugal number, since it uses more digits than its factorization.

12365217601 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1882 (or 930 counting only the distinct ones).

The product of its (nonzero) digits is 15120, while the sum is 34.

The spelling of 12365217601 in words is "twelve billion, three hundred sixty-five million, two hundred seventeen thousand, six hundred one".