22121331121200 has 480 divisors, whose sum is σ = 72894048768000. Its totient is φ = 5731833282560.

The previous prime is 22121331121189. The next prime is 22121331121243. The reversal of 22121331121200 is 212113312122.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4758296476 + ... + 4758301124.

It is an arithmetic number, because the mean of its divisors is an integer number (151862601600).

Almost surely, 2^{22121331121200} is an apocalyptic number.

22121331121200 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 22121331121200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36447024384000).

22121331121200 is an abundant number, since it is smaller than the sum of its proper divisors (50772717646800).

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

22121331121200 is a wasteful number, since it uses less digits than its factorization.

22121331121200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5309 (or 5298 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 21.

Adding to 22121331121200 its reverse (212113312122), we get a palindrome (22333444433322).

It can be divided in two parts, 2212133 and 1121200, that added together give a palindrome (3333333).

The spelling of 22121331121200 in words is "twenty-two trillion, one hundred twenty-one billion, three hundred thirty-one million, one hundred twenty-one thousand, two hundred".