3024144422112 has 96 divisors (see below), whose sum is σ = 8662506297984. Its totient is φ = 916147468800.

The previous prime is 3024144422083. The next prime is 3024144422219. The reversal of 3024144422112 is 2112244414203.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×3024144422112² (a number of 26 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 3024144422112.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3334923 + ... + 4143669.

It is an arithmetic number, because the mean of its divisors is an integer number (90234440604).

Almost surely, 2^{3024144422112} is an apocalyptic number.

3024144422112 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

3024144422112 is an abundant number, since it is smaller than the sum of its proper divisors (5638361875872).

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

3024144422112 is a wasteful number, since it uses less digits than its factorization.

3024144422112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 812312 (or 812304 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 30.

Adding to 3024144422112 its reverse (2112244414203), we get a palindrome (5136388836315).

The spelling of 3024144422112 in words is "three trillion, twenty-four billion, one hundred forty-four million, four hundred twenty-two thousand, one hundred twelve".