12344858784720 has 3840 divisors, whose sum is σ = 58723555737600. Its totient is φ = 2266848460800.

The previous prime is 12344858784679. The next prime is 12344858784733. The reversal of 12344858784720 is 2748785844321.

12344858784720 is a `hidden beast` number, since 1 + 2 + 3 + 4 + 4 + 8 + 587 + 8 + 47 + 2 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 767 ways as a sum of consecutive naturals, for example, 138706278436 + ... + 138706278524.

It is an arithmetic number, because the mean of its divisors is an integer number (15292592640).

Almost surely, 2^{12344858784720} is an apocalyptic number.

12344858784720 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 12344858784720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29361777868800).

12344858784720 is an abundant number, since it is smaller than the sum of its proper divisors (46378696952880).

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

12344858784720 is a wasteful number, since it uses less digits than its factorization.

12344858784720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 231 (or 200 counting only the distinct ones).

The product of its (nonzero) digits is 96337920, while the sum is 63.

The spelling of 12344858784720 in words is "twelve trillion, three hundred forty-four billion, eight hundred fifty-eight million, seven hundred eighty-four thousand, seven hundred twenty".