12507320 has 64 divisors (see below), whose sum is σ = 33868800. Its totient is φ = 4060800.

The previous prime is 12507317. The next prime is 12507329. The reversal of 12507320 is 2370521.

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 = 12507292 and 12507301.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12507329) 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, 4145 + ... + 6495.

It is an arithmetic number, because the mean of its divisors is an integer number (529200).

Almost surely, 2^12507320 is an apocalyptic number.

12507320 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 12507320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16934400).

12507320 is an abundant number, since it is smaller than the sum of its proper divisors (21361480).

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

12507320 is a wasteful number, since it uses less digits than its factorization.

12507320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2388 (or 2384 counting only the distinct ones).

The product of its (nonzero) digits is 420, while the sum is 20.

The square root of 12507320 is about 3536.5689587508. The cubic root of 12507320 is about 232.1247347476.

Adding to 12507320 its reverse (2370521), we get a palindrome (14877841).

The spelling of 12507320 in words is "twelve million, five hundred seven thousand, three hundred twenty".