12824120 has 32 divisors (see below), whose sum is σ = 30553200. Its totient is φ = 4827648.

The previous prime is 12824117. The next prime is 12824131. The reversal of 12824120 is 2142821.

It is a happy number.

12824120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 12824092 and 12824101.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 8750 + ... + 10109.

Almost surely, 2^12824120 is an apocalyptic number.

12824120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12824120 is an abundant number, since it is smaller than the sum of its proper divisors (17729080).

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

12824120 is a wasteful number, since it uses less digits than its factorization.

12824120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18887 (or 18883 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 20.

The square root of 12824120 is about 3581.0780499732. The cubic root of 12824120 is about 234.0682587533.

Adding to 12824120 its reverse (2142821), we get a palindrome (14966941).

The spelling of 12824120 in words is "twelve million, eight hundred twenty-four thousand, one hundred twenty".