22211121100000 has 576 divisors, whose sum is σ = 64212042166272. Its totient is φ = 7403880960000.

The previous prime is 22211121099991. The next prime is 22211121100073. The reversal of 22211121100000 is 112111222.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 7013298417 + ... + 7013301583.

It is an arithmetic number, because the mean of its divisors is an integer number (111479239872).

Almost surely, 2^{22211121100000} is an apocalyptic number.

22211121100000 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 22211121100000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32106021083136).

22211121100000 is an abundant number, since it is smaller than the sum of its proper divisors (42000921066272).

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

22211121100000 is an equidigital number, since it uses as much as digits as its factorization.

22211121100000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3485 (or 3457 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 22211121100000 its reverse (112111222), we get a palindrome (22211233211222).

The spelling of 22211121100000 in words is "twenty-two trillion, two hundred eleven billion, one hundred twenty-one million, one hundred thousand".