12412080 has 60 divisors (see below), whose sum is σ = 41686320. Its totient is φ = 3309696.

The previous prime is 12412067. The next prime is 12412109. The reversal of 12412080 is 8021421.

12412080 is digitally balanced in base 2 and base 4, because in such bases 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 (60).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 7900 + ... + 9339.

It is an arithmetic number, because the mean of its divisors is an integer number (694772).

Almost surely, 2^12412080 is an apocalyptic number.

12412080 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12412080 is an abundant number, since it is smaller than the sum of its proper divisors (29274240).

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

12412080 is a wasteful number, since it uses less digits than its factorization.

12412080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17258 (or 17249 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

The square root of 12412080 is about 3523.0781995295. The cubic root of 12412080 is about 231.5340429825.

It can be divided in two parts, 1241 and 2080, that added together give a triangular number (3321 = T₈₁).

The spelling of 12412080 in words is "twelve million, four hundred twelve thousand, eighty".