12738123360 has 144 divisors (see below), whose sum is σ = 43534305360. Its totient is φ = 3391718400.

The previous prime is 12738123337. The next prime is 12738123379. The reversal of 12738123360 is 6332183721.

12738123360 is a `hidden beast` number, since 1 + 273 + 8 + 1 + 23 + 360 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1003131 + ... + 1015749.

It is an arithmetic number, because the mean of its divisors is an integer number (302321565).

Almost surely, 2^12738123360 is an apocalyptic number.

12738123360 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 12738123360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21767152680).

12738123360 is an abundant number, since it is smaller than the sum of its proper divisors (30796182000).

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

12738123360 is a wasteful number, since it uses less digits than its factorization.

12738123360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13341 (or 13330 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The spelling of 12738123360 in words is "twelve billion, seven hundred thirty-eight million, one hundred twenty-three thousand, three hundred sixty".