12135280 has 40 divisors (see below), whose sum is σ = 29877552. Its totient is φ = 4568064.

The previous prime is 12135257. The next prime is 12135287. The reversal of 12135280 is 8253121.

12135280 = 192² + 193² + ... + 351².

12135280 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12135287) 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, 3102 + ... + 5821.

Almost surely, 2^12135280 is an apocalyptic number.

12135280 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12135280 is an abundant number, since it is smaller than the sum of its proper divisors (17742272).

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

12135280 is a wasteful number, since it uses less digits than its factorization.

12135280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8953 (or 8947 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 22.

The square root of 12135280 is about 3483.5728785257. The cubic root of 12135280 is about 229.7999520780.

The spelling of 12135280 in words is "twelve million, one hundred thirty-five thousand, two hundred eighty".