21123516242214 has 96 divisors (see below), whose sum is σ = 46375737408000. Its totient is φ = 6947947746432.

The previous prime is 21123516242183. The next prime is 21123516242273. The reversal of 21123516242214 is 41224261532112.

21123516242214 is a `hidden beast` number, since 2 + 1 + 1 + 2 + 3 + 5 + 1 + 624 + 2 + 21 + 4 = 666.

It is a congruent number.

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 47 ways as a sum of consecutive naturals, for example, 2794481767 + ... + 2794489325.

It is an arithmetic number, because the mean of its divisors is an integer number (483080598000).

Almost surely, 2^{21123516242214} is an apocalyptic number.

21123516242214 is an abundant number, since it is smaller than the sum of its proper divisors (25252221165786).

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

21123516242214 is a wasteful number, since it uses less digits than its factorization.

21123516242214 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10962 (or 10959 counting only the distinct ones).

The product of its digits is 46080, while the sum is 36.

Adding to 21123516242214 its reverse (41224261532112), we get a palindrome (62347777774326).

The spelling of 21123516242214 in words is "twenty-one trillion, one hundred twenty-three billion, five hundred sixteen million, two hundred forty-two thousand, two hundred fourteen".