20211202211200 has 1536 divisors, whose sum is σ = 72214777958400. Its totient is φ = 5380145971200.

The previous prime is 20211202211171. The next prime is 20211202211273. The reversal of 20211202211200 is 211220211202.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is an unprimeable number.

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 191 ways as a sum of consecutive naturals, for example, 2617010539 + ... + 2617018261.

It is an arithmetic number, because the mean of its divisors is an integer number (47014829400).

Almost surely, 2^{20211202211200} is an apocalyptic number.

20211202211200 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 20211202211200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36107388979200).

20211202211200 is an abundant number, since it is smaller than the sum of its proper divisors (52003575747200).

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

20211202211200 is a wasteful number, since it uses less digits than its factorization.

20211202211200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7840 (or 7823 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 20211202211200 its reverse (211220211202), we get a palindrome (20422422422402).

It can be divided in two parts, 20211202 and 211200, that added together give a palindrome (20422402).

The spelling of 20211202211200 in words is "twenty trillion, two hundred eleven billion, two hundred two million, two hundred eleven thousand, two hundred".