12718080 has 208 divisors, whose sum is σ = 47180160. Its totient is φ = 3244032.

The previous prime is 12718063. The next prime is 12718093. The reversal of 12718080 is 8081721.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a nialpdrome in base 16.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 552949 + ... + 552971.

Almost surely, 2^12718080 is an apocalyptic number.

12718080 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 12718080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23590080).

12718080 is an abundant number, since it is smaller than the sum of its proper divisors (34462080).

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

12718080 is an equidigital number, since it uses as much as digits as its factorization.

12718080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 61 (or 33 counting only the distinct ones).

The product of its (nonzero) digits is 896, while the sum is 27.

The square root of 12718080 is about 3566.2417192333. The cubic root of 12718080 is about 233.4213182925.

It can be divided in two parts, 127180 and 80, that added together give a triangular number (127260 = T₅₀₄).

The spelling of 12718080 in words is "twelve million, seven hundred eighteen thousand, eighty".