21202212201120 has 384 divisors, whose sum is σ = 74552213998080. Its totient is φ = 5627711324160.

The previous prime is 21202212201091. The next prime is 21202212201133. The reversal of 21202212201120 is 2110221220212.

It is a happy number.

21202212201120 is a `hidden beast` number, since 2 + 120 + 221 + 2 + 201 + 120 = 666.

It is a super-3 number, since 3×21202212201120³ (a number of 41 digits) contains 333 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 = 21202212201093 and 21202212201102.

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 63 ways as a sum of consecutive naturals, for example, 1657581925 + ... + 1657594715.

It is an arithmetic number, because the mean of its divisors is an integer number (194146390620).

Almost surely, 2^{21202212201120} is an apocalyptic number.

21202212201120 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 21202212201120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37276106999040).

21202212201120 is an abundant number, since it is smaller than the sum of its proper divisors (53350001796960).

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

21202212201120 is a wasteful number, since it uses less digits than its factorization.

21202212201120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14565 (or 14551 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 21202212201120 its reverse (2110221220212), we get a palindrome (23312433421332).

The spelling of 21202212201120 in words is "twenty-one trillion, two hundred two billion, two hundred twelve million, two hundred one thousand, one hundred twenty".