21411122320 has 240 divisors, whose sum is σ = 59378239728. Its totient is φ = 7156531200.

The previous prime is 21411122281. The next prime is 21411122333. The reversal of 21411122320 is 2322111412.

It can be written as a sum of positive squares in 8 ways, for example, as 9234441216 + 12176681104 = 96096^2 + 110348^2 .

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 47 ways as a sum of consecutive naturals, for example, 53394120 + ... + 53394520.

Almost surely, 2^21411122320 is an apocalyptic number.

21411122320 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 21411122320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29689119864).

21411122320 is an abundant number, since it is smaller than the sum of its proper divisors (37967117408).

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

21411122320 is a wasteful number, since it uses less digits than its factorization.

21411122320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 738 (or 725 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 19.

Adding to 21411122320 its reverse (2322111412), we get a palindrome (23733233732).

The spelling of 21411122320 in words is "twenty-one billion, four hundred eleven million, one hundred twenty-two thousand, three hundred twenty".