12066192000 has 1024 divisors, whose sum is σ = 49492684800. Its totient is φ = 2875392000.

The previous prime is 12066191959. The next prime is 12066192143. The reversal of 12066192000 is 29166021.

12066192000 is a `hidden beast` number, since 1 + 20 + 6 + 619 + 20 + 0 + 0 = 666.

12066192000 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 an unprimeable number.

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 127 ways as a sum of consecutive naturals, for example, 227663974 + ... + 227664026.

It is an arithmetic number, because the mean of its divisors is an integer number (48332700).

Almost surely, 2^12066192000 is an apocalyptic number.

12066192000 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 12066192000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24746342400).

12066192000 is an abundant number, since it is smaller than the sum of its proper divisors (37426492800).

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

12066192000 is a wasteful number, since it uses less digits than its factorization.

12066192000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 139 (or 111 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 27.

The spelling of 12066192000 in words is "twelve billion, sixty-six million, one hundred ninety-two thousand".