11220201202122 has 512 divisors, whose sum is σ = 29131259904000. Its totient is φ = 3169715328000.

The previous prime is 11220201202121. The next prime is 11220201202127. The reversal of 11220201202122 is 22120210202211.

It is a happy number.

11220201202122 is a `hidden beast` number, since 11 + 220 + 201 + 20 + 212 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 11220201202095 and 11220201202104.

It is not an unprimeable number, because it can be changed into a prime (11220201202121) 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 255 ways as a sum of consecutive naturals, for example, 20739743172 + ... + 20739743712.

It is an arithmetic number, because the mean of its divisors is an integer number (56896992000).

Almost surely, 2^{11220201202122} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11220201202122, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14565629952000).

11220201202122 is an abundant number, since it is smaller than the sum of its proper divisors (17911058701878).

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

11220201202122 is a wasteful number, since it uses less digits than its factorization.

11220201202122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 995 (or 989 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 11220201202122 its reverse (22120210202211), we get a palindrome (33340411404333).

The spelling of 11220201202122 in words is "eleven trillion, two hundred twenty billion, two hundred one million, two hundred two thousand, one hundred twenty-two".