12872101 has 16 divisors (see below), whose sum is σ = 14932800. Its totient is φ = 11064240.

The previous prime is 12872081. The next prime is 12872117. The reversal of 12872101 is 10127821.

It is a de Polignac number, because none of the positive numbers 2^k-12872101 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12872131) 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 15 ways as a sum of consecutive naturals, for example, 25035 + ... + 25543.

It is an arithmetic number, because the mean of its divisors is an integer number (933300).

Almost surely, 2^12872101 is an apocalyptic number.

12872101 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

12872101 is the 1605-th centered decagonal number.

It is an amenable number.

12872101 is a deficient number, since it is larger than the sum of its proper divisors (2060699).

12872101 is an equidigital number, since it uses as much as digits as its factorization.

12872101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 561 (or 539 counting only the distinct ones).

The product of its (nonzero) digits is 224, while the sum is 22.

The square root of 12872101 is about 3587.7710350578. The cubic root of 12872101 is about 234.3598148621.

Adding to 12872101 its reverse (10127821), we get a palindrome (22999922).

The spelling of 12872101 in words is "twelve million, eight hundred seventy-two thousand, one hundred one".