3013220121984 has 288 divisors, whose sum is σ = 9169458587640. Its totient is φ = 949648527360.

The previous prime is 3013220121979. The next prime is 3013220122001. The reversal of 3013220121984 is 4891210223103.

3013220121984 is a `hidden beast` number, since 30 + 132 + 201 + 219 + 84 = 666.

3013220121984 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 216662359 + ... + 216676265.

Almost surely, 2^{3013220121984} 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 3013220121984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4584729293820).

3013220121984 is an abundant number, since it is smaller than the sum of its proper divisors (6156238465656).

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

3013220121984 is a wasteful number, since it uses less digits than its factorization.

3013220121984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14486 (or 14452 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The spelling of 3013220121984 in words is "three trillion, thirteen billion, two hundred twenty million, one hundred twenty-one thousand, nine hundred eighty-four".