12618021312 has 252 divisors, whose sum is σ = 39845300040. Its totient is φ = 3816663552.

The previous prime is 12618021293. The next prime is 12618021341. The reversal of 12618021312 is 21312081621.

12618021312 is a `hidden beast` number, since 12 + 618 + 0 + 2 + 1 + 31 + 2 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 213864739 + ... + 213864797.

It is an arithmetic number, because the mean of its divisors is an integer number (158116270).

Almost surely, 2^12618021312 is an apocalyptic number.

12618021312 is a gapful number since it is divisible by the number (12) 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 12618021312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19922650020).

12618021312 is an abundant number, since it is smaller than the sum of its proper divisors (27227278728).

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

12618021312 is an frugal number, since it uses more digits than its factorization.

12618021312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 142 (or 77 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 27.

The spelling of 12618021312 in words is "twelve billion, six hundred eighteen million, twenty-one thousand, three hundred twelve".