20124414212224 has 64 divisors (see below), whose sum is σ = 46793850773760. Its totient is φ = 8441243633664.

The previous prime is 20124414212213. The next prime is 20124414212237. The reversal of 20124414212224 is 42221241442102.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×20124414212224² (a number of 27 digits) contains 22 as substring.

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 7 ways as a sum of consecutive naturals, for example, 238897077 + ... + 238981300.

It is an arithmetic number, because the mean of its divisors is an integer number (731153918340).

Almost surely, 2^{20124414212224} is an apocalyptic number.

It is an amenable number.

20124414212224 is an abundant number, since it is smaller than the sum of its proper divisors (26669436561536).

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

20124414212224 is an equidigital number, since it uses as much as digits as its factorization.

20124414212224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 477878445 (or 477878433 counting only the distinct ones).

The product of its (nonzero) digits is 16384, while the sum is 31.

Adding to 20124414212224 its reverse (42221241442102), we get a palindrome (62345655654326).

The spelling of 20124414212224 in words is "twenty trillion, one hundred twenty-four billion, four hundred fourteen million, two hundred twelve thousand, two hundred twenty-four".