12578090240 has 36 divisors (see below), whose sum is σ = 30128459844. Its totient is φ = 5031235584.

The previous prime is 12578090137. The next prime is 12578090299. The reversal of 12578090240 is 4209087521.

12578090240 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 2996029696 + 9582060544 = 54736^2 + 97888^2 .

It is a junction number, because it is equal to n+sod(n) for n = 12578090194 and 12578090203.

It is a congruent number.

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 3 ways as a sum of consecutive naturals, for example, 4912037 + ... + 4914596.

Almost surely, 2^12578090240 is an apocalyptic number.

12578090240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12578090240 is an abundant number, since it is smaller than the sum of its proper divisors (17550369604).

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

12578090240 is an frugal number, since it uses more digits than its factorization.

12578090240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9826654 (or 9826640 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 38.

The spelling of 12578090240 in words is "twelve billion, five hundred seventy-eight million, ninety thousand, two hundred forty".