21121682304 has 64 divisors (see below), whose sum is σ = 56132835840. Its totient is φ = 7037001216.

The previous prime is 21121682273. The next prime is 21121682333. The reversal of 21121682304 is 40328612112.

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

It is a super-2 number, since 2×21121682304² (a number of 21 digits) contains 22 as substring.

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 7 ways as a sum of consecutive naturals, for example, 810079 + ... + 835745.

It is an arithmetic number, because the mean of its divisors is an integer number (877075560).

Almost surely, 2^21121682304 is an apocalyptic number.

21121682304 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

21121682304 is an abundant number, since it is smaller than the sum of its proper divisors (35011153536).

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

21121682304 is a wasteful number, since it uses less digits than its factorization.

21121682304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27827 (or 27815 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 30.

The spelling of 21121682304 in words is "twenty-one billion, one hundred twenty-one million, six hundred eighty-two thousand, three hundred four".