12486170820240 has 800 divisors, whose sum is σ = 47300863800960. Its totient is φ = 3034231529472.

The previous prime is 12486170820223. The next prime is 12486170820281. The reversal of 12486170820240 is 4202807168421.

12486170820240 is a `hidden beast` number, since 1 + 2 + 4 + 8 + 617 + 0 + 8 + 2 + 0 + 24 + 0 = 666.

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 (23) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 8419534539 + ... + 8419536021.

Almost surely, 2^{12486170820240} is an apocalyptic number.

12486170820240 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 12486170820240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23650431900480).

12486170820240 is an abundant number, since it is smaller than the sum of its proper divisors (34814692980720).

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

12486170820240 is a wasteful number, since it uses less digits than its factorization.

12486170820240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2733 (or 2718 counting only the distinct ones).

The product of its (nonzero) digits is 344064, while the sum is 45.

Adding to 12486170820240 its reverse (4202807168421), we get a palindrome (16688977988661).

The spelling of 12486170820240 in words is "twelve trillion, four hundred eighty-six billion, one hundred seventy million, eight hundred twenty thousand, two hundred forty".