12010611355008 has 512 divisors, whose sum is σ = 39347333038080. Its totient is φ = 3170534400000.

The previous prime is 12010611354971. The next prime is 12010611355097. The reversal of 12010611355008 is 80055311601021.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 12010611355008.

It is a congruent number.

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 63 ways as a sum of consecutive naturals, for example, 1067509383 + ... + 1067520633.

It is an arithmetic number, because the mean of its divisors is an integer number (76850259840).

Almost surely, 2^{12010611355008} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12010611355008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19673666519040).

12010611355008 is an abundant number, since it is smaller than the sum of its proper divisors (27336721683072).

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

12010611355008 is a wasteful number, since it uses less digits than its factorization.

12010611355008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11886 (or 11874 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 33.

Adding to 12010611355008 its reverse (80055311601021), we get a palindrome (92065922956029).

The spelling of 12010611355008 in words is "twelve trillion, ten billion, six hundred eleven million, three hundred fifty-five thousand, eight".