21211224320 has 144 divisors (see below), whose sum is σ = 59690457792. Its totient is φ = 7119790080.

The previous prime is 21211224311. The next prime is 21211224337. The reversal of 21211224320 is 2342211212.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 21211224292 and 21211224301.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 125099 + ... + 240981.

It is an arithmetic number, because the mean of its divisors is an integer number (414517068).

Almost surely, 2^21211224320 is an apocalyptic number.

21211224320 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 21211224320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29845228896).

21211224320 is an abundant number, since it is smaller than the sum of its proper divisors (38479233472).

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

21211224320 is a wasteful number, since it uses less digits than its factorization.

21211224320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 115928 (or 115914 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

Adding to 21211224320 its reverse (2342211212), we get a palindrome (23553435532).

The spelling of 21211224320 in words is "twenty-one billion, two hundred eleven million, two hundred twenty-four thousand, three hundred twenty".