12400080 has 240 divisors, whose sum is σ = 49080192. Its totient is φ = 2534400.

The previous prime is 12400049. The next prime is 12400097. The reversal of 12400080 is 8000421.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

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, 203250 + ... + 203310.

Almost surely, 2^12400080 is an apocalyptic number.

12400080 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 12400080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24540096).

12400080 is an abundant number, since it is smaller than the sum of its proper divisors (36680112).

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

12400080 is a wasteful number, since it uses less digits than its factorization.

12400080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 106 (or 89 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

The square root of 12400080 is about 3521.3747315502. The cubic root of 12400080 is about 231.4594032126.

The spelling of 12400080 in words is "twelve million, four hundred thousand, eighty".