12507920 has 60 divisors (see below), whose sum is σ = 30949284. Its totient is φ = 4700160.

The previous prime is 12507907. The next prime is 12507923. The reversal of 12507920 is 2970521.

It can be written as a sum of positive squares in 6 ways, for example, as 369664 + 12138256 = 608^2 + 3484^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 12507920.

It is not an unprimeable number, because it can be changed into a prime (12507923) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 22850 + ... + 23390.

Almost surely, 2^12507920 is an apocalyptic number.

12507920 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 12507920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15474642).

12507920 is an abundant number, since it is smaller than the sum of its proper divisors (18441364).

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

12507920 is a wasteful number, since it uses less digits than its factorization.

12507920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 588 (or 565 counting only the distinct ones).

The product of its (nonzero) digits is 1260, while the sum is 26.

The square root of 12507920 is about 3536.6537857133. The cubic root of 12507920 is about 232.1284465104.

The spelling of 12507920 in words is "twelve million, five hundred seven thousand, nine hundred twenty".