21211424320 has 112 divisors (see below), whose sum is σ = 52844565888. Its totient is φ = 8094310400.

The previous prime is 21211424249. The next prime is 21211424323. The reversal of 21211424320 is 2342411212.

It is a junction number, because it is equal to n+sod(n) for n = 21211424291 and 21211424300.

It is not an unprimeable number, because it can be changed into a prime (21211424323) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 2947767 + ... + 2954953.

Almost surely, 2^21211424320 is an apocalyptic number.

21211424320 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 21211424320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26422282944).

21211424320 is an abundant number, since it is smaller than the sum of its proper divisors (31633141568).

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

21211424320 is a wasteful number, since it uses less digits than its factorization.

21211424320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7628 (or 7618 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 22.

Adding to 21211424320 its reverse (2342411212), we get a palindrome (23553835532).

The spelling of 21211424320 in words is "twenty-one billion, two hundred eleven million, four hundred twenty-four thousand, three hundred twenty".