21122104320 has 308 divisors, whose sum is σ = 75981119160. Its totient is φ = 5631565824.

The previous prime is 21122104273. The next prime is 21122104337. The reversal of 21122104320 is 2340122112.

It is a happy number.

21122104320 is a `hidden beast` number, since 2 + 11 + 221 + 0 + 432 + 0 = 666.

It is a super-2 number, since 2×21122104320² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 21122104293 and 21122104302.

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 27 ways as a sum of consecutive naturals, for example, 3729651 + ... + 3735309.

Almost surely, 2^21122104320 is an apocalyptic number.

21122104320 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 21122104320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37990559580).

21122104320 is an abundant number, since it is smaller than the sum of its proper divisors (54859014840).

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

21122104320 is an frugal number, since it uses more digits than its factorization.

21122104320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5702 (or 5669 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 21122104320 its reverse (2340122112), we get a palindrome (23462226432).

The spelling of 21122104320 in words is "twenty-one billion, one hundred twenty-two million, one hundred four thousand, three hundred twenty".