12812424 has 64 divisors (see below), whose sum is σ = 35043840. Its totient is φ = 3886080.

The previous prime is 12812419. The next prime is 12812473. The reversal of 12812424 is 42421821.

It is a Harshad number since it is a multiple of its sum of digits (24).

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

It is a junction number, because it is equal to n+sod(n) for n = 12812394 and 12812403.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 12142 + ... + 13154.

It is an arithmetic number, because the mean of its divisors is an integer number (547560).

Almost surely, 2^12812424 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12812424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17521920).

12812424 is an abundant number, since it is smaller than the sum of its proper divisors (22231416).

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

12812424 is a wasteful number, since it uses less digits than its factorization.

12812424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1070 (or 1066 counting only the distinct ones).

The product of its digits is 1024, while the sum is 24.

The square root of 12812424 is about 3579.4446496628. Note that the first 3 decimals coincide. The cubic root of 12812424 is about 233.9970779093.

The spelling of 12812424 in words is "twelve million, eight hundred twelve thousand, four hundred twenty-four".