12216067775600 has 240 divisors, whose sum is σ = 32711470081920. Its totient is φ = 4353033216000.

The previous prime is 12216067775497. The next prime is 12216067775603. The reversal of 12216067775600 is 657776061221.

It is a Harshad number since it is a multiple of its sum of digits (50).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12216067775603) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 354513572 + ... + 354548028.

It is an arithmetic number, because the mean of its divisors is an integer number (136297792008).

Almost surely, 2^{12216067775600} is an apocalyptic number.

12216067775600 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 12216067775600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16355735040960).

12216067775600 is an abundant number, since it is smaller than the sum of its proper divisors (20495402306320).

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

12216067775600 is a wasteful number, since it uses less digits than its factorization.

12216067775600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36868 (or 36857 counting only the distinct ones).

The product of its (nonzero) digits is 1481760, while the sum is 50.

The spelling of 12216067775600 in words is "twelve trillion, two hundred sixteen billion, sixty-seven million, seven hundred seventy-five thousand, six hundred".