22032102032000 has 128 divisors (see below), whose sum is σ = 54788539553280. Its totient is φ = 8811034752000.

The previous prime is 22032102031993. The next prime is 22032102032077. The reversal of 22032102032000 is 23020123022.

It is a tau number, because it is divible by the number of its divisors (128).

It is a self number, because there is not a number n which added to its sum of digits gives 22032102032000.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 79333385 + ... + 79610615.

It is an arithmetic number, because the mean of its divisors is an integer number (428035465260).

Almost surely, 2^{22032102032000} is an apocalyptic number.

22032102032000 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 22032102032000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27394269776640).

22032102032000 is an abundant number, since it is smaller than the sum of its proper divisors (32756437521280).

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

22032102032000 is an equidigital number, since it uses as much as digits as its factorization.

22032102032000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 282227 (or 282205 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 17.

Adding to 22032102032000 its reverse (23020123022), we get a palindrome (22055122155022).

The spelling of 22032102032000 in words is "twenty-two trillion, thirty-two billion, one hundred two million, thirty-two thousand".