22213102032000 has 1536 divisors, whose sum is σ = 88704089210880. Its totient is φ = 5281920000000.

The previous prime is 22213102031971. The next prime is 22213102032013. The reversal of 22213102032000 is 23020131222.

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 (17) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 29578031625 + ... + 29578032375.

It is an arithmetic number, because the mean of its divisors is an integer number (57750058080).

Almost surely, 2^{22213102032000} is an apocalyptic number.

22213102032000 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 22213102032000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44352044605440).

22213102032000 is an abundant number, since it is smaller than the sum of its proper divisors (66490987178880).

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

22213102032000 is a wasteful number, since it uses less digits than its factorization.

22213102032000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1131 (or 1106 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 22213102032000 its reverse (23020131222), we get a palindrome (22236122163222).

The spelling of 22213102032000 in words is "twenty-two trillion, two hundred thirteen billion, one hundred two million, thirty-two thousand".