12165484800 has 648 divisors, whose sum is σ = 47646179616. Its totient is φ = 2724986880.

The previous prime is 12165484789. The next prime is 12165484871. The reversal of 12165484800 is 848456121.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 63033504 + ... + 63033696.

Almost surely, 2^12165484800 is an apocalyptic number.

12165484800 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 12165484800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23823089808).

12165484800 is an abundant number, since it is smaller than the sum of its proper divisors (35480694816).

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

12165484800 is a wasteful number, since it uses less digits than its factorization.

12165484800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 303 (or 277 counting only the distinct ones).

The product of its (nonzero) digits is 61440, while the sum is 39.

The spelling of 12165484800 in words is "twelve billion, one hundred sixty-five million, four hundred eighty-four thousand, eight hundred".