12420039168 has 240 divisors, whose sum is σ = 38062801920. Its totient is φ = 3887751168.

The previous prime is 12420039167. The next prime is 12420039193. The reversal of 12420039168 is 86193002421.

12420039168 is a `hidden beast` number, since 1 + 2 + 4 + 200 + 391 + 68 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (12420039167) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 11118546 + ... + 11119662.

It is an arithmetic number, because the mean of its divisors is an integer number (158595008).

Almost surely, 2^12420039168 is an apocalyptic number.

12420039168 is a gapful number since it is divisible by the number (18) 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 12420039168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19031400960).

12420039168 is an abundant number, since it is smaller than the sum of its proper divisors (25642762752).

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

12420039168 is a wasteful number, since it uses less digits than its factorization.

12420039168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1287 (or 1268 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The spelling of 12420039168 in words is "twelve billion, four hundred twenty million, thirty-nine thousand, one hundred sixty-eight".