12507120 has 120 divisors (see below), whose sum is σ = 43524000. Its totient is φ = 3214848.

The previous prime is 12507107. The next prime is 12507137. The reversal of 12507120 is 2170521.

It is a tau number, because it is divible by the number of its divisors (120).

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 = 12507093 and 12507102.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 20581 + ... + 21179.

It is an arithmetic number, because the mean of its divisors is an integer number (362700).

Almost surely, 2^12507120 is an apocalyptic number.

12507120 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 12507120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21762000).

12507120 is an abundant number, since it is smaller than the sum of its proper divisors (31016880).

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

12507120 is a wasteful number, since it uses less digits than its factorization.

12507120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 647 (or 638 counting only the distinct ones).

The product of its (nonzero) digits is 140, while the sum is 18.

The square root of 12507120 is about 3536.5406826446. The cubic root of 12507120 is about 232.1234974670.

Adding to 12507120 its reverse (2170521), we get a palindrome (14677641).

The spelling of 12507120 in words is "twelve million, five hundred seven thousand, one hundred twenty".