22121020211200 has 180 divisors, whose sum is σ = 54882508509052. Its totient is φ = 8844528844800.

The previous prime is 22121020211167. The next prime is 22121020211203. The reversal of 22121020211200 is 211202012122.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 70407438336 + 22050612772864 = 265344^2 + 4695808^2 .

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22121020211203) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1047336640 + ... + 1047357760.

Almost surely, 2^{22121020211200} is an apocalyptic number.

22121020211200 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 22121020211200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27441254254526).

22121020211200 is an abundant number, since it is smaller than the sum of its proper divisors (32761488297852).

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

22121020211200 is an equidigital number, since it uses as much as digits as its factorization.

22121020211200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23716 (or 23685 counting only the distinct ones).

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

Adding to 22121020211200 its reverse (211202012122), we get a palindrome (22332222223322).

The spelling of 22121020211200 in words is "twenty-two trillion, one hundred twenty-one billion, twenty million, two hundred eleven thousand, two hundred".