12529440 has 288 divisors, whose sum is σ = 53778816. Its totient is φ = 2580480.

The previous prime is 12529427. The next prime is 12529471. The reversal of 12529440 is 4492521.

It is a tau number, because it is divible by the number of its divisors (288).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 110824 + ... + 110936.

It is an arithmetic number, because the mean of its divisors is an integer number (186732).

Almost surely, 2^12529440 is an apocalyptic number.

12529440 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 12529440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26889408).

12529440 is an abundant number, since it is smaller than the sum of its proper divisors (41249376).

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

12529440 is a wasteful number, since it uses less digits than its factorization.

12529440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 152 (or 141 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 12529440 is about 3539.6949021067. The cubic root of 12529440 is about 232.2614966637.

The spelling of 12529440 in words is "twelve million, five hundred twenty-nine thousand, four hundred forty".