12878580240 has 120 divisors (see below), whose sum is σ = 44066744280. Its totient is φ = 3369480192.

The previous prime is 12878580229. The next prime is 12878580251. The reversal of 12878580240 is 4208587821.

It is a happy number.

12878580240 is a `hidden beast` number, since 1 + 28 + 7 + 8 + 580 + 2 + 40 = 666.

It is an interprime number because it is at equal distance from previous prime (12878580229) and next prime (12878580251).

It can be written as a sum of positive squares in 4 ways, for example, as 6266938896 + 6611641344 = 79164^2 + 81312^2 .

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 130585 + ... + 206904.

It is an arithmetic number, because the mean of its divisors is an integer number (367222869).

Almost surely, 2^12878580240 is an apocalyptic number.

12878580240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12878580240 is an abundant number, since it is smaller than the sum of its proper divisors (31188164040).

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

12878580240 is a wasteful number, since it uses less digits than its factorization.

12878580240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 337561 (or 337552 counting only the distinct ones).

The product of its (nonzero) digits is 286720, while the sum is 45.

The spelling of 12878580240 in words is "twelve billion, eight hundred seventy-eight million, five hundred eighty thousand, two hundred forty".