12703518720 has 312 divisors, whose sum is σ = 45134310312. Its totient is φ = 3304980480.

The previous prime is 12703518661. The next prime is 12703518727. The reversal of 12703518720 is 2781530721.

12703518720 is a `hidden beast` number, since 1 + 2 + 70 + 3 + 518 + 72 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 8005238784 + 4698279936 = 89472^2 + 68544^2 .

It is a super-2 number, since 2×12703518720² (a number of 21 digits) contains 22 as substring.

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 (12703518727) 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, 309841900 + ... + 309841940.

It is an arithmetic number, because the mean of its divisors is an integer number (144661251).

Almost surely, 2^12703518720 is an apocalyptic number.

12703518720 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 12703518720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22567155156).

12703518720 is an abundant number, since it is smaller than the sum of its proper divisors (32430791592).

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

12703518720 is an frugal number, since it uses more digits than its factorization.

12703518720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 158 (or 51 counting only the distinct ones).

The product of its (nonzero) digits is 23520, while the sum is 36.

The spelling of 12703518720 in words is "twelve billion, seven hundred three million, five hundred eighteen thousand, seven hundred twenty".