12068640000 has 810 divisors, whose sum is σ = 47783165430. Its totient is φ = 2924544000.

The previous prime is 12068639987. The next prime is 12068640011. The reversal of 12068640000 is 4686021.

12068640000 is a `hidden beast` number, since 12 + 0 + 6 + 8 + 640 + 0 + 0 + 0 = 666.

It can be written as a sum of positive squares in 15 ways, for example, as 10093015296 + 1975624704 = 100464^2 + 44448^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 89 ways as a sum of consecutive naturals, for example, 416159986 + ... + 416160014.

Almost surely, 2^12068640000 is an apocalyptic number.

12068640000 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 12068640000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23891582715).

12068640000 is an abundant number, since it is smaller than the sum of its proper divisors (35714525430).

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

12068640000 is an equidigital number, since it uses as much as digits as its factorization.

12068640000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 105 (or 56 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The spelling of 12068640000 in words is "twelve billion, sixty-eight million, six hundred forty thousand".