12904020 has 72 divisors (see below), whose sum is σ = 41454504. Its totient is φ = 3237888.

The previous prime is 12903977. The next prime is 12904027. The reversal of 12904020 is 2040921.

It can be written as a sum of positive squares in 4 ways, for example, as 5253264 + 7650756 = 2292^2 + 2766^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 12903984 and 12904002.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12904027) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 952 + ... + 5168.

It is an arithmetic number, because the mean of its divisors is an integer number (575757).

Almost surely, 2^12904020 is an apocalyptic number.

12904020 is a gapful number since it is divisible by the number (10) 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 12904020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20727252).

12904020 is an abundant number, since it is smaller than the sum of its proper divisors (28550484).

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

12904020 is a wasteful number, since it uses less digits than its factorization.

12904020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4249 (or 4244 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 12904020 is about 3592.2165858979. The cubic root of 12904020 is about 234.5533692857.

Adding to 12904020 its reverse (2040921), we get a palindrome (14944941).

The spelling of 12904020 in words is "twelve million, nine hundred four thousand, twenty".