12715218000 has 800 divisors, whose sum is σ = 51400103040. Its totient is φ = 3023308800.

The previous prime is 12715217987. The next prime is 12715218007. The reversal of 12715218000 is 81251721.

12715218000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12715218007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 669221991 + ... + 669222009.

Almost surely, 2^12715218000 is an apocalyptic number.

12715218000 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 12715218000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25700051520).

12715218000 is an abundant number, since it is smaller than the sum of its proper divisors (38684885040).

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

12715218000 is an frugal number, since it uses more digits than its factorization.

12715218000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 86 (or 46 counting only the distinct ones).

The product of its (nonzero) digits is 1120, while the sum is 27.

Adding to 12715218000 its reverse (81251721), we get a palindrome (12796469721).

The spelling of 12715218000 in words is "twelve billion, seven hundred fifteen million, two hundred eighteen thousand".