21210024000 has 224 divisors, whose sum is σ = 76403313792. Its totient is φ = 5141760000.

The previous prime is 21210023999. The next prime is 21210024071. The reversal of 21210024000 is 42001212.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 223830 + ... + 304170.

Almost surely, 2^21210024000 is an apocalyptic number.

21210024000 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 21210024000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38201656896).

21210024000 is an abundant number, since it is smaller than the sum of its proper divisors (55193289792).

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

21210024000 is a wasteful number, since it uses less digits than its factorization.

21210024000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 80382 (or 80362 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

Adding to 21210024000 its reverse (42001212), we get a palindrome (21252025212).

The spelling of 21210024000 in words is "twenty-one billion, two hundred ten million, twenty-four thousand".