22111233330120 has 512 divisors, whose sum is σ = 74739316377600. Its totient is φ = 5187874406400.

The previous prime is 22111233330113. The next prime is 22111233330157. The reversal of 22111233330120 is 2103333211122.

It is a Harshad number since it is a multiple of its sum of digits (24).

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 127 ways as a sum of consecutive naturals, for example, 1264718899 + ... + 1264736381.

It is an arithmetic number, because the mean of its divisors is an integer number (145975227300).

Almost surely, 2^{22111233330120} is an apocalyptic number.

22111233330120 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 22111233330120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37369658188800).

22111233330120 is an abundant number, since it is smaller than the sum of its proper divisors (52628083047480).

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

22111233330120 is a wasteful number, since it uses less digits than its factorization.

22111233330120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17821 (or 17817 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 24.

Adding to 22111233330120 its reverse (2103333211122), we get a palindrome (24214566541242).

The spelling of 22111233330120 in words is "twenty-two trillion, one hundred eleven billion, two hundred thirty-three million, three hundred thirty thousand, one hundred twenty".