12016506320000 has 1280 divisors, whose sum is σ = 38132529684480. Its totient is φ = 3669442560000.

The previous prime is 12016506319933. The next prime is 12016506320017. The reversal of 12016506320000 is 2360561021.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 37906959842 + ... + 37906960158.

It is an arithmetic number, because the mean of its divisors is an integer number (29791038816).

Almost surely, 2^{12016506320000} is an apocalyptic number.

12016506320000 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 12016506320000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19066264842240).

12016506320000 is an abundant number, since it is smaller than the sum of its proper divisors (26116023364480).

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

12016506320000 is a wasteful number, since it uses less digits than its factorization.

12016506320000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 539 (or 512 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 26.

Adding to 12016506320000 its reverse (2360561021), we get a palindrome (12018866881021).

The spelling of 12016506320000 in words is "twelve trillion, sixteen billion, five hundred six million, three hundred twenty thousand".