12130560 has 252 divisors, whose sum is σ = 46915932. Its totient is φ = 2985984.

The previous prime is 12130553. The next prime is 12130567. The reversal of 12130560 is 6503121.

It is an interprime number because it is at equal distance from previous prime (12130553) and next prime (12130567).

It can be written as a sum of positive squares in 2 ways, for example, as 2985984 + 9144576 = 1728^2 + 3024^2 .

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12130567) by changing a digit.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 933114 + ... + 933126.

Almost surely, 2^12130560 is an apocalyptic number.

12130560 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 12130560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23457966).

12130560 is an abundant number, since it is smaller than the sum of its proper divisors (34785372).

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

12130560 is an frugal number, since it uses more digits than its factorization.

12130560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 52 (or 23 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 18.

The square root of 12130560 is about 3482.8953472650. The cubic root of 12130560 is about 229.7701547590.

Adding to 12130560 its reverse (6503121), we get a palindrome (18633681).

The spelling of 12130560 in words is "twelve million, one hundred thirty thousand, five hundred sixty".