12744357120 has 432 divisors, whose sum is σ = 48476256192. Its totient is φ = 3065610240.

The previous prime is 12744357113. The next prime is 12744357121. The reversal of 12744357120 is 2175344721.

12744357120 is a `hidden beast` number, since 1 + 27 + 4 + 43 + 571 + 20 = 666.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12744357121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 20655052 + ... + 20655668.

It is an arithmetic number, because the mean of its divisors is an integer number (112213556).

Almost surely, 2^12744357120 is an apocalyptic number.

12744357120 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 12744357120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24238128096).

12744357120 is an abundant number, since it is smaller than the sum of its proper divisors (35731899072).

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

12744357120 is a wasteful number, since it uses less digits than its factorization.

12744357120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 818 (or 801 counting only the distinct ones).

The product of its (nonzero) digits is 47040, while the sum is 36.

The spelling of 12744357120 in words is "twelve billion, seven hundred forty-four million, three hundred fifty-seven thousand, one hundred twenty".