12068352000 has 624 divisors, whose sum is σ = 45581538912. Its totient is φ = 3185049600.

The previous prime is 12068351993. The next prime is 12068352013. The reversal of 12068352000 is 25386021.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 124415952 + ... + 124416048.

It is an arithmetic number, because the mean of its divisors is an integer number (73047338).

Almost surely, 2^12068352000 is an apocalyptic number.

12068352000 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 12068352000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22790769456).

12068352000 is an abundant number, since it is smaller than the sum of its proper divisors (33513186912).

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

12068352000 is an frugal number, since it uses more digits than its factorization.

12068352000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 151 (or 107 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The spelling of 12068352000 in words is "twelve billion, sixty-eight million, three hundred fifty-two thousand".