12412824 has 64 divisors (see below), whose sum is σ = 32832000. Its totient is φ = 3902976.

The previous prime is 12412823. The next prime is 12412837. The reversal of 12412824 is 42821421.

12412824 = T₂₄₉ + T₂₅₀ + ... + T₄₄₇.

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 = 12412794 and 12412803.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12412823) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 62277 + ... + 62475.

It is an arithmetic number, because the mean of its divisors is an integer number (513000).

Almost surely, 2^12412824 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 12412824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16416000).

12412824 is an abundant number, since it is smaller than the sum of its proper divisors (20419176).

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

12412824 is a wasteful number, since it uses less digits than its factorization.

12412824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 344 (or 340 counting only the distinct ones).

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

The square root of 12412824 is about 3523.1837874286. The cubic root of 12412824 is about 231.5386690641.

The spelling of 12412824 in words is "twelve million, four hundred twelve thousand, eight hundred twenty-four".