12258688982688 has 72 divisors (see below), whose sum is σ = 34866132377076. Its totient is φ = 4085586662400.

The previous prime is 12258688982663. The next prime is 12258688982689. The reversal of 12258688982688 is 88628988685221.

12258688982688 is a `hidden beast` number, since 1 + 2 + 2 + 586 + 8 + 8 + 9 + 8 + 26 + 8 + 8 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 10551244999824 + 1707443982864 = 3248268^2 + 1306692^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is not an unprimeable number, because it can be changed into a prime (12258688982689) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1513803 + ... + 5177738.

Almost surely, 2^{12258688982688} is an apocalyptic number.

12258688982688 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

12258688982688 is an abundant number, since it is smaller than the sum of its proper divisors (22607443394388).

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

12258688982688 is a wasteful number, since it uses less digits than its factorization.

12258688982688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6697918 (or 6697907 counting only the distinct ones).

The product of its digits is 3397386240, while the sum is 81.

The spelling of 12258688982688 in words is "twelve trillion, two hundred fifty-eight billion, six hundred eighty-eight million, nine hundred eighty-two thousand, six hundred eighty-eight".