22112211120000 has 320 divisors, whose sum is σ = 73549566604800. Its totient is φ = 5884248832000.

The previous prime is 22112211119953. The next prime is 22112211120007. The reversal of 22112211120000 is 2111221122.

It is a tau number, because it is divible by the number of its divisors (320).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22112211120007) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 114863827 + ... + 115056173.

It is an arithmetic number, because the mean of its divisors is an integer number (229842395640).

Almost surely, 2^{22112211120000} is an apocalyptic number.

22112211120000 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 22112211120000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36774783302400).

22112211120000 is an abundant number, since it is smaller than the sum of its proper divisors (51437355484800).

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

22112211120000 is an equidigital number, since it uses as much as digits as its factorization.

22112211120000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 192863 (or 192836 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 22112211120000 its reverse (2111221122), we get a palindrome (22114322341122).

The spelling of 22112211120000 in words is "twenty-two trillion, one hundred twelve billion, two hundred eleven million, one hundred twenty thousand".