12523280 has 160 divisors (see below), whose sum is σ = 38568960. Its totient is φ = 3663360.

The previous prime is 12523253. The next prime is 12523283. The reversal of 12523280 is 8232521.

12523280 is digitally balanced in base 2 and base 8, because in such bases it contains all the possibile digits an equal number of times.

12523280 is strictly pandigital in base 8.

It is not an unprimeable number, because it can be changed into a prime (12523283) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 116987 + ... + 117093.

It is an arithmetic number, because the mean of its divisors is an integer number (241056).

Almost surely, 2^12523280 is an apocalyptic number.

12523280 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 12523280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19284480).

12523280 is an abundant number, since it is smaller than the sum of its proper divisors (26045680).

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

12523280 is a wasteful number, since it uses less digits than its factorization.

12523280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 157 (or 151 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 23.

The square root of 12523280 is about 3538.8246636419. The cubic root of 12523280 is about 232.2234272488.

The spelling of 12523280 in words is "twelve million, five hundred twenty-three thousand, two hundred eighty".