12800601 has 24 divisors (see below), whose sum is σ = 20292480. Its totient is φ = 7711200.

The previous prime is 12800597. The next prime is 12800611. The reversal of 12800601 is 10600821.

It is not a de Polignac number, because 12800601 - 2² = 12800597 is a prime.

It is a super-2 number, since 2×12800601² = 327710771922402, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (12800611) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 23391 + ... + 23931.

It is an arithmetic number, because the mean of its divisors is an integer number (845520).

Almost surely, 2^12800601 is an apocalyptic number.

12800601 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

12800601 is a deficient number, since it is larger than the sum of its proper divisors (7491879).

12800601 is a wasteful number, since it uses less digits than its factorization.

12800601 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 797 (or 794 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

The square root of 12800601 is about 3577.7927553172. The cubic root of 12800601 is about 233.9250801136.

The spelling of 12800601 in words is "twelve million, eight hundred thousand, six hundred one".