21212002333320 has 256 divisors, whose sum is σ = 65781155082240. Its totient is φ = 5467868955648.

The previous prime is 21212002333259. The next prime is 21212002333339. The reversal of 21212002333320 is 2333320021212.

It is a Harshad number since it is a multiple of its sum of digits (24).

21212002333320 is a modest number, since divided by 2333320 gives 212120 as remainder.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3837884397 + ... + 3837889923.

It is an arithmetic number, because the mean of its divisors is an integer number (256957637040).

Almost surely, 2^{21212002333320} is an apocalyptic number.

21212002333320 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 21212002333320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32890577541120).

21212002333320 is an abundant number, since it is smaller than the sum of its proper divisors (44569152748920).

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

21212002333320 is a wasteful number, since it uses less digits than its factorization.

21212002333320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11044 (or 11040 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 24.

Adding to 21212002333320 its reverse (2333320021212), we get a palindrome (23545322354532).

The spelling of 21212002333320 in words is "twenty-one trillion, two hundred twelve billion, two million, three hundred thirty-three thousand, three hundred twenty".