22500122330000 has 300 divisors, whose sum is σ = 64564645996620. Its totient is φ = 7568765568000.

The previous prime is 22500122329967. The next prime is 22500122330017. The reversal of 22500122330000 is 3322100522.

It can be written as a sum of positive squares in 10 ways, for example, as 19620611994256 + 2879510335744 = 4429516^2 + 1696912^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 25536806 + ... + 26403194.

Almost surely, 2^{22500122330000} is an apocalyptic number.

22500122330000 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 22500122330000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32282322998310).

22500122330000 is an abundant number, since it is smaller than the sum of its proper divisors (42064523666620).

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

22500122330000 is an equidigital number, since it uses as much as digits as its factorization.

22500122330000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 866484 (or 866456 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 20.

Adding to 22500122330000 its reverse (3322100522), we get a palindrome (22503444430522).

The spelling of 22500122330000 in words is "twenty-two trillion, five hundred billion, one hundred twenty-two million, three hundred thirty thousand".