12947472 has 160 divisors (see below), whose sum is σ = 41247360. Its totient is φ = 3870720.

The previous prime is 12947471. The next prime is 12947477. The reversal of 12947472 is 27474921.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an alternating number because its digits alternate between odd and even.

It is not an unprimeable number, because it can be changed into a prime (12947471) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 301083 + ... + 301125.

It is an arithmetic number, because the mean of its divisors is an integer number (257796).

Almost surely, 2^12947472 is an apocalyptic number.

12947472 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 12947472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20623680).

12947472 is an abundant number, since it is smaller than the sum of its proper divisors (28299888).

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

12947472 is a wasteful number, since it uses less digits than its factorization.

12947472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 118 (or 106 counting only the distinct ones).

The product of its digits is 28224, while the sum is 36.

The square root of 12947472 is about 3598.2595792966. The cubic root of 12947472 is about 234.8163466278.

The spelling of 12947472 in words is "twelve million, nine hundred forty-seven thousand, four hundred seventy-two".