12135680 has 72 divisors (see below), whose sum is σ = 30660000. Its totient is φ = 4589568.

The previous prime is 12135677. The next prime is 12135689. The reversal of 12135680 is 8653121.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12135689) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 24071 + ... + 24569.

Almost surely, 2^12135680 is an apocalyptic number.

12135680 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 12135680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15330000).

12135680 is an abundant number, since it is smaller than the sum of its proper divisors (18524320).

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

12135680 is an equidigital number, since it uses as much as digits as its factorization.

12135680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 539 (or 525 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 26.

The square root of 12135680 is about 3483.6302903724. The cubic root of 12135680 is about 229.8024769194.

The spelling of 12135680 in words is "twelve million, one hundred thirty-five thousand, six hundred eighty".