22121200202022 has 80 divisors (see below), whose sum is σ = 50782047380064. Its totient is φ = 7193149488000.

The previous prime is 22121200201957. The next prime is 22121200202027. The reversal of 22121200202022 is 22020200212122.

22121200202022 is a `hidden beast` number, since 221 + 21 + 200 + 20 + 202 + 2 = 666.

It is a super-2 number, since 2×22121200202022² (a number of 27 digits) contains 22 as substring.

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 = 22121200201986 and 22121200202004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22121200202027) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 66659647 + ... + 66990677.

Almost surely, 2^{22121200202022} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22121200202022, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25391023690032).

22121200202022 is an abundant number, since it is smaller than the sum of its proper divisors (28660847178042).

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

22121200202022 is a wasteful number, since it uses less digits than its factorization.

22121200202022 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 341147 (or 341138 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

Adding to 22121200202022 its reverse (22020200212122), we get a palindrome (44141400414144).

The spelling of 22121200202022 in words is "twenty-two trillion, one hundred twenty-one billion, two hundred million, two hundred two thousand, twenty-two".