12247872 has 112 divisors (see below), whose sum is σ = 39940992. Its totient is φ = 3225600.

The previous prime is 12247843. The next prime is 12247901. The reversal of 12247872 is 27874221.

It is an interprime number because it is at equal distance from previous prime (12247843) and next prime (12247901).

It is a tau number, because it is divible by the number of its divisors (112).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

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, 17122 + ... + 17822.

It is an arithmetic number, because the mean of its divisors is an integer number (356616).

Almost surely, 2^12247872 is an apocalyptic number.

12247872 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12247872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19970496).

12247872 is an abundant number, since it is smaller than the sum of its proper divisors (27693120).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

12247872 is a wasteful number, since it uses less digits than its factorization.

12247872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 736 (or 726 counting only the distinct ones).

The product of its digits is 12544, while the sum is 33.

The square root of 12247872 is about 3499.6959867966. The cubic root of 12247872 is about 230.5084655191.

The spelling of 12247872 in words is "twelve million, two hundred forty-seven thousand, eight hundred seventy-two".