22221113130000 has 1800 divisors, whose sum is σ = 86466932199648. Its totient is φ = 5520897792000.

The previous prime is 22221113129993. The next prime is 22221113130001. The reversal of 22221113130000 is 3131112222.

22221113130000 is a `hidden beast` number, since 2 + 22 + 211 + 131 + 300 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1800).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (22221113130001) by changing a digit.

It is a polite number, since it can be written in 359 ways as a sum of consecutive naturals, for example, 64037789827 + ... + 64037790173.

Almost surely, 2^{22221113130000} is an apocalyptic number.

22221113130000 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 22221113130000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43233466099824).

22221113130000 is an abundant number, since it is smaller than the sum of its proper divisors (64245819069648).

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

22221113130000 is an equidigital number, since it uses as much as digits as its factorization.

22221113130000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 501 (or 449 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 22221113130000 its reverse (3131112222), we get a palindrome (22224244242222).

The spelling of 22221113130000 in words is "twenty-two trillion, two hundred twenty-one billion, one hundred thirteen million, one hundred thirty thousand".