12009816537600 has 960 divisors, whose sum is σ = 46189877944320. Its totient is φ = 2694089932800.

The previous prime is 12009816537583. The next prime is 12009816537601. The reversal of 12009816537600 is 673561890021.

It is a tau number, because it is divible by the number of its divisors (960).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 12009816537600.

It is not an unprimeable number, because it can be changed into a prime (12009816537601) by changing a digit.

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 95 ways as a sum of consecutive naturals, for example, 4561265884 + ... + 4561268516.

It is an arithmetic number, because the mean of its divisors is an integer number (48114456192).

Almost surely, 2^{12009816537600} is an apocalyptic number.

12009816537600 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 12009816537600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23094938972160).

12009816537600 is an abundant number, since it is smaller than the sum of its proper divisors (34180061406720).

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

12009816537600 is a wasteful number, since it uses less digits than its factorization.

12009816537600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2981 (or 2960 counting only the distinct ones).

The product of its (nonzero) digits is 544320, while the sum is 48.

The spelling of 12009816537600 in words is "twelve trillion, nine billion, eight hundred sixteen million, five hundred thirty-seven thousand, six hundred".