12166632000 has 896 divisors, whose sum is σ = 48689971200. Its totient is φ = 2965248000.

The previous prime is 12166631999. The next prime is 12166632013. The reversal of 12166632000 is 23666121.

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

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 127 ways as a sum of consecutive naturals, for example, 154007961 + ... + 154008039.

Almost surely, 2^12166632000 is an apocalyptic number.

12166632000 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 12166632000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24344985600).

12166632000 is an abundant number, since it is smaller than the sum of its proper divisors (36523339200).

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

12166632000 is a wasteful number, since it uses less digits than its factorization.

12166632000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 169 (or 143 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The spelling of 12166632000 in words is "twelve billion, one hundred sixty-six million, six hundred thirty-two thousand".