12315006720 has 648 divisors, whose sum is σ = 47281472784. Its totient is φ = 3068264448.

The previous prime is 12315006689. The next prime is 12315006727. The reversal of 12315006720 is 2760051321.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (648).

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 (12315006727) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 89890492 + ... + 89890628.

Almost surely, 2^12315006720 is an apocalyptic number.

12315006720 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 12315006720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23640736392).

12315006720 is an abundant number, since it is smaller than the sum of its proper divisors (34966466064).

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

12315006720 is an equidigital number, since it uses as much as digits as its factorization.

12315006720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 207 (or 164 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 27.

The spelling of 12315006720 in words is "twelve billion, three hundred fifteen million, six thousand, seven hundred twenty".