12468820790352 has 80 divisors (see below), whose sum is σ = 34822832932160. Its totient is φ = 3831102821376.

The previous prime is 12468820790351. The next prime is 12468820790467. The reversal of 12468820790352 is 25309702886421.

It is a Harshad number since it is a multiple of its sum of digits (57).

It is a junction number, because it is equal to n+sod(n) for n = 12468820790292 and 12468820790301.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12468820790351) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 184722373 + ... + 184789860.

It is an arithmetic number, because the mean of its divisors is an integer number (435285411652).

It is a 2-persistent number, because it is pandigital, and so is 2⋅12468820790352 = 24937641580704, but 3⋅12468820790352 = 37406462371056 is not.

Almost surely, 2^{12468820790352} is an apocalyptic number.

12468820790352 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

12468820790352 is an abundant number, since it is smaller than the sum of its proper divisors (22354012141808).

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

12468820790352 is a wasteful number, since it uses less digits than its factorization.

12468820790352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 369512300 (or 369512294 counting only the distinct ones).

The product of its (nonzero) digits is 11612160, while the sum is 57.

The spelling of 12468820790352 in words is "twelve trillion, four hundred sixty-eight billion, eight hundred twenty million, seven hundred ninety thousand, three hundred fifty-two".