12066238627200 has 288 divisors, whose sum is σ = 43095793478400. Its totient is φ = 3214622822400.

The previous prime is 12066238627199. The next prime is 12066238627217. The reversal of 12066238627200 is 272683266021.

12066238627200 is a `hidden beast` number, since 1 + 2 + 0 + 6 + 62 + 386 + 2 + 7 + 200 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×12066238627200² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

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, 30359361 + ... + 30754239.

It is an arithmetic number, because the mean of its divisors is an integer number (149638171800).

Almost surely, 2^{12066238627200} is an apocalyptic number.

12066238627200 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 12066238627200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21547896739200).

12066238627200 is an abundant number, since it is smaller than the sum of its proper divisors (31029554851200).

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

12066238627200 is a wasteful number, since it uses less digits than its factorization.

12066238627200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 395970 (or 395950 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 45.

The spelling of 12066238627200 in words is "twelve trillion, sixty-six billion, two hundred thirty-eight million, six hundred twenty-seven thousand, two hundred".