20124281630880 has 864 divisors, whose sum is σ = 83406910204800. Its totient is φ = 4397342552064.

The previous prime is 20124281630879. The next prime is 20124281630909. The reversal of 20124281630880 is 8803618242102.

20124281630880 is a `hidden beast` number, since 2 + 0 + 1 + 2 + 4 + 2 + 8 + 1 + 630 + 8 + 8 + 0 = 666.

It is a super-2 number, since 2×20124281630880² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

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 143 ways as a sum of consecutive naturals, for example, 5499938491 + ... + 5499942149.

It is an arithmetic number, because the mean of its divisors is an integer number (96535775700).

Almost surely, 2^{20124281630880} is an apocalyptic number.

20124281630880 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20124281630880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41703455102400).

20124281630880 is an abundant number, since it is smaller than the sum of its proper divisors (63282628573920).

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

20124281630880 is a wasteful number, since it uses less digits than its factorization.

20124281630880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7106 (or 7088 counting only the distinct ones).

The product of its (nonzero) digits is 294912, while the sum is 45.

Adding to 20124281630880 its reverse (8803618242102), we get a palindrome (28927899872982).

The spelling of 20124281630880 in words is "twenty trillion, one hundred twenty-four billion, two hundred eighty-one million, six hundred thirty thousand, eight hundred eighty".