22211011200000 has 1056 divisors, whose sum is σ = 86861955979008. Its totient is φ = 4939038720000.

The previous prime is 22211011199989. The next prime is 22211011200031. The reversal of 22211011200000 is 211011222.

It is a Harshad number since it is a multiple of its sum of digits (12).

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 95 ways as a sum of consecutive naturals, for example, 2486395534 + ... + 2486404466.

Almost surely, 2^{22211011200000} is an apocalyptic number.

22211011200000 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 22211011200000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43430977989504).

22211011200000 is an abundant number, since it is smaller than the sum of its proper divisors (64650944779008).

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

22211011200000 is an frugal number, since it uses more digits than its factorization.

22211011200000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9025 (or 8987 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 22211011200000 its reverse (211011222), we get a palindrome (22211222211222).

The spelling of 22211011200000 in words is "twenty-two trillion, two hundred eleven billion, eleven million, two hundred thousand".