12514080 has 144 divisors (see below), whose sum is σ = 42142464. Its totient is φ = 3118080.

The previous prime is 12514043. The next prime is 12514081. The reversal of 12514080 is 8041521.

It is not an unprimeable number, because it can be changed into a prime (12514081) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 403665 + ... + 403695.

It is an arithmetic number, because the mean of its divisors is an integer number (292656).

Almost surely, 2^12514080 is an apocalyptic number.

12514080 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 12514080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21071232).

12514080 is an abundant number, since it is smaller than the sum of its proper divisors (29628384).

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

12514080 is a wasteful number, since it uses less digits than its factorization.

12514080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 107 (or 70 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 21.

The square root of 12514080 is about 3537.5245582186. The cubic root of 12514080 is about 232.1665470780.

The spelling of 12514080 in words is "twelve million, five hundred fourteen thousand, eighty".