12011201827456 has 256 divisors, whose sum is σ = 27617007348000. Its totient is φ = 5154169946112.

The previous prime is 12011201827363. The next prime is 12011201827529. The reversal of 12011201827456 is 65472810211021.

It can be written as a sum of positive squares in 16 ways, for example, as 907751617600 + 11103450209856 = 952760^2 + 3332184^2 .

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 5027709910 + ... + 5027712298.

Almost surely, 2^{12011201827456} is an apocalyptic number.

12011201827456 is a gapful number since it is divisible by the number (16) 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 12011201827456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13808503674000).

12011201827456 is an abundant number, since it is smaller than the sum of its proper divisors (15605805520544).

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

12011201827456 is a wasteful number, since it uses less digits than its factorization.

12011201827456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4519 (or 4507 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 40.

The spelling of 12011201827456 in words is "twelve trillion, eleven billion, two hundred one million, eight hundred twenty-seven thousand, four hundred fifty-six".