22232212221000 has 256 divisors, whose sum is σ = 70432904805120. Its totient is φ = 5837356800000.

The previous prime is 22232212220987. The next prime is 22232212221017. The reversal of 22232212221000 is 12221223222.

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 63 ways as a sum of consecutive naturals, for example, 446396100 + ... + 446445900.

It is an arithmetic number, because the mean of its divisors is an integer number (275128534395).

Almost surely, 2^{22232212221000} is an apocalyptic number.

22232212221000 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 22232212221000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35216452402560).

22232212221000 is an abundant number, since it is smaller than the sum of its proper divisors (48200692584120).

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

22232212221000 is a wasteful number, since it uses less digits than its factorization.

22232212221000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 52113 (or 52099 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 21.

Adding to 22232212221000 its reverse (12221223222), we get a palindrome (22244433444222).

The spelling of 22232212221000 in words is "twenty-two trillion, two hundred thirty-two billion, two hundred twelve million, two hundred twenty-one thousand".