22122011221002 has 384 divisors, whose sum is σ = 67879508336640. Its totient is φ = 5221491932160.

The previous prime is 22122011220997. The next prime is 22122011221043. The reversal of 22122011221002 is 20012211022122.

It is a happy number.

22122011221002 is a `hidden beast` number, since 221 + 220 + 1 + 1 + 221 + 0 + 0 + 2 = 666.

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

It is an unprimeable number.

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 191 ways as a sum of consecutive naturals, for example, 17849503 + ... + 19048589.

It is an arithmetic number, because the mean of its divisors is an integer number (176769552960).

Almost surely, 2^{22122011221002} is an apocalyptic number.

22122011221002 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 22122011221002, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33939754168320).

22122011221002 is an abundant number, since it is smaller than the sum of its proper divisors (45757497115638).

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

22122011221002 is a wasteful number, since it uses less digits than its factorization.

22122011221002 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1199168 (or 1199156 counting only the distinct ones).

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

Adding to 22122011221002 its reverse (20012211022122), we get a palindrome (42134222243124).

The spelling of 22122011221002 in words is "twenty-two trillion, one hundred twenty-two billion, eleven million, two hundred twenty-one thousand, two".