12066600 has 288 divisors, whose sum is σ = 49014720. Its totient is φ = 2396160.

The previous prime is 12066557. The next prime is 12066611. The reversal of 12066600 is 666021.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 709792 + ... + 709808.

It is an arithmetic number, because the mean of its divisors is an integer number (170190).

Almost surely, 2^12066600 is an apocalyptic number.

12066600 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 12066600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24507360).

12066600 is an abundant number, since it is smaller than the sum of its proper divisors (36948120).

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

12066600 is a wasteful number, since it uses less digits than its factorization.

12066600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 69 (or 47 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 21.

The square root of 12066600 is about 3473.7011961307. The cubic root of 12066600 is about 229.3656116306.

The spelling of 12066600 in words is "twelve million, sixty-six thousand, six hundred".