221022122000 has 80 divisors (see below), whose sum is σ = 534912822912. Its totient is φ = 88329225600.

The previous prime is 221022121993. The next prime is 221022122003. The reversal of 221022122000 is 221220122.

221022122000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (80).

It is not an unprimeable number, because it can be changed into a prime (221022122003) by changing a digit.

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, 2196797 + ... + 2295203.

Almost surely, 2^221022122000 is an apocalyptic number.

221022122000 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 221022122000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (267456411456).

221022122000 is an abundant number, since it is smaller than the sum of its proper divisors (313890700912).

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

221022122000 is a wasteful number, since it uses less digits than its factorization.

221022122000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 99553 (or 99537 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 14.

Adding to 221022122000 its reverse (221220122), we get a palindrome (221243342122).

The spelling of 221022122000 in words is "two hundred twenty-one billion, twenty-two million, one hundred twenty-two thousand".