12016990351584 has 144 divisors (see below), whose sum is σ = 34365199443120. Its totient is φ = 3983223552000.

The previous prime is 12016990351529. The next prime is 12016990351603. The reversal of 12016990351584 is 48515309961021.

12016990351584 is a `hidden beast` number, since 1 + 2 + 0 + 1 + 6 + 9 + 9 + 0 + 3 + 51 + 584 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×12016990351584² (a number of 27 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 12016990351584.

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 44466982 + ... + 44736410.

It is an arithmetic number, because the mean of its divisors is an integer number (238647218355).

Almost surely, 2^{12016990351584} 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 12016990351584, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17182599721560).

12016990351584 is an abundant number, since it is smaller than the sum of its proper divisors (22348209091536).

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

12016990351584 is a wasteful number, since it uses less digits than its factorization.

12016990351584 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 270313 (or 270302 counting only the distinct ones).

The product of its (nonzero) digits is 2332800, while the sum is 54.

The spelling of 12016990351584 in words is "twelve trillion, sixteen billion, nine hundred ninety million, three hundred fifty-one thousand, five hundred eighty-four".