21120063604200 has 864 divisors, whose sum is σ = 82921855161600. Its totient is φ = 4797041356800.

The previous prime is 21120063604187. The next prime is 21120063604207. The reversal of 21120063604200 is 240636002112.

21120063604200 is a `hidden beast` number, since 2 + 1 + 1 + 2 + 0 + 0 + 636 + 0 + 4 + 20 + 0 = 666.

It is not an unprimeable number, because it can be changed into a prime (21120063604207) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 825667011 + ... + 825692589.

It is an arithmetic number, because the mean of its divisors is an integer number (95974369400).

Almost surely, 2^{21120063604200} is an apocalyptic number.

21120063604200 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 21120063604200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41460927580800).

21120063604200 is an abundant number, since it is smaller than the sum of its proper divisors (61801791557400).

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

21120063604200 is a wasteful number, since it uses less digits than its factorization.

21120063604200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25863 (or 25840 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

Adding to 21120063604200 its reverse (240636002112), we get a palindrome (21360699606312).

The spelling of 21120063604200 in words is "twenty-one trillion, one hundred twenty billion, sixty-three million, six hundred four thousand, two hundred".