21124136761800 has 96 divisors (see below), whose sum is σ = 65691401284800. Its totient is φ = 5615333044480.

The previous prime is 21124136761633. The next prime is 21124136761813. The reversal of 21124136761800 is 816763142112.

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, 55341180 + ... + 55721579.

It is an arithmetic number, because the mean of its divisors is an integer number (684285430050).

Almost surely, 2^{21124136761800} is an apocalyptic number.

21124136761800 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21124136761800 is an abundant number, since it is smaller than the sum of its proper divisors (44567264523000).

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

21124136761800 is a wasteful number, since it uses less digits than its factorization.

21124136761800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 111063095 (or 111063086 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 42.

The spelling of 21124136761800 in words is "twenty-one trillion, one hundred twenty-four billion, one hundred thirty-six million, seven hundred sixty-one thousand, eight hundred".