12135760 has 80 divisors (see below), whose sum is σ = 34747776. Its totient is φ = 3838464.

The previous prime is 12135749. The next prime is 12135763. The reversal of 12135760 is 6753121.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12135763) 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 15 ways as a sum of consecutive naturals, for example, 6447 + ... + 8113.

Almost surely, 2^12135760 is an apocalyptic number.

12135760 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 12135760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17373888).

12135760 is an abundant number, since it is smaller than the sum of its proper divisors (22612016).

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

12135760 is a wasteful number, since it uses less digits than its factorization.

12135760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1700 (or 1694 counting only the distinct ones).

The product of its (nonzero) digits is 1260, while the sum is 25.

The square root of 12135760 is about 3483.6417726282. The cubic root of 12135760 is about 229.8029818810.

Adding to 12135760 its reverse (6753121), we get a palindrome (18888881).

The spelling of 12135760 in words is "twelve million, one hundred thirty-five thousand, seven hundred sixty".