12468009360 has 40 divisors (see below), whose sum is σ = 38650829760. Its totient is φ = 3324802432.

The previous prime is 12468009331. The next prime is 12468009371. The reversal of 12468009360 is 6390086421.

12468009360 is digitally balanced in base 2, because in such base 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 (40).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 25974780 + ... + 25975259.

It is an arithmetic number, because the mean of its divisors is an integer number (966270744).

Almost surely, 2^12468009360 is an apocalyptic number.

12468009360 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12468009360 is an abundant number, since it is smaller than the sum of its proper divisors (26182820400).

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

12468009360 is a wasteful number, since it uses less digits than its factorization.

12468009360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 51950055 (or 51950049 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 39.

The spelling of 12468009360 in words is "twelve billion, four hundred sixty-eight million, nine thousand, three hundred sixty".