12575280 has 80 divisors (see below), whose sum is σ = 39354624. Its totient is φ = 3321600.

The previous prime is 12575279. The next prime is 12575281. The reversal of 12575280 is 8257521.

It is an interprime number because it is at equal distance from previous prime (12575279) and next prime (12575281).

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (12575281) 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 15 ways as a sum of consecutive naturals, for example, 36067 + ... + 36413.

Almost surely, 2^12575280 is an apocalyptic number.

12575280 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 12575280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19677312).

12575280 is an abundant number, since it is smaller than the sum of its proper divisors (26779344).

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

12575280 is a wasteful number, since it uses less digits than its factorization.

12575280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 514 (or 508 counting only the distinct ones).

The product of its (nonzero) digits is 5600, while the sum is 30.

The square root of 12575280 is about 3546.1641247974. The cubic root of 12575280 is about 232.5444012784.

The spelling of 12575280 in words is "twelve million, five hundred seventy-five thousand, two hundred eighty".