22204032001000 has 256 divisors, whose sum is σ = 54253061928000. Its totient is φ = 8498373120000.

The previous prime is 22204032000959. The next prime is 22204032001001. The reversal of 22204032001000 is 10023040222.

It can be written as a sum of positive squares in 32 ways, for example, as 5097651808804 + 17106380192196 = 2257798^2 + 4135986^2 .

It is not an unprimeable number, because it can be changed into a prime (22204032001001) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 556793062 + ... + 556832938.

Almost surely, 2^{22204032001000} is an apocalyptic number.

22204032001000 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 22204032001000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27126530964000).

22204032001000 is an abundant number, since it is smaller than the sum of its proper divisors (32049029927000).

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

22204032001000 is a wasteful number, since it uses less digits than its factorization.

22204032001000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40185 (or 40171 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 16.

Adding to 22204032001000 its reverse (10023040222), we get a palindrome (22214055041222).

The spelling of 22204032001000 in words is "twenty-two trillion, two hundred four billion, thirty-two million, one thousand".