12165552000 has 896 divisors, whose sum is σ = 52175448000. Its totient is φ = 2762035200.

The previous prime is 12165551921. The next prime is 12165552037. The reversal of 12165552000 is 25556121.

12165552000 is a `hidden beast` number, since 1 + 2 + 1 + 655 + 5 + 2 + 0 + 0 + 0 = 666.

12165552000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (896).

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 111 ways as a sum of consecutive naturals, for example, 81647926 + ... + 81648074.

Almost surely, 2^12165552000 is an apocalyptic number.

12165552000 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 12165552000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26087724000).

12165552000 is an abundant number, since it is smaller than the sum of its proper divisors (40009896000).

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

12165552000 is an frugal number, since it uses more digits than its factorization.

12165552000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 203 (or 166 counting only the distinct ones).

The product of its (nonzero) digits is 3000, while the sum is 27.

The spelling of 12165552000 in words is "twelve billion, one hundred sixty-five million, five hundred fifty-two thousand".