21211202211200 has 48 divisors (see below), whose sum is σ = 52398297970260. Its totient is φ = 8484480883200.

The previous prime is 21211202211197. The next prime is 21211202211209. The reversal of 21211202211200 is 211220211212.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21211202211209) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 3314247146 + ... + 3314253545.

Almost surely, 2^{21211202211200} is an apocalyptic number.

21211202211200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21211202211200 is an abundant number, since it is smaller than the sum of its proper divisors (31187095759060).

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

21211202211200 is an equidigital number, since it uses as much as digits as its factorization.

21211202211200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6628500715 (or 6628500698 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 17.

Adding to 21211202211200 its reverse (211220211212), we get a palindrome (21422422422412).

The spelling of 21211202211200 in words is "twenty-one trillion, two hundred eleven billion, two hundred two million, two hundred eleven thousand, two hundred".