22111011121120 has 96 divisors (see below), whose sum is σ = 53403912823968. Its totient is φ = 8648803688448.

The previous prime is 22111011121103. The next prime is 22111011121141. The reversal of 22111011121120 is 2112111011122.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 22111011121094 and 22111011121103.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6059077 + ... + 8996356.

It is an arithmetic number, because the mean of its divisors is an integer number (556290758583).

Almost surely, 2^{22111011121120} is an apocalyptic number.

22111011121120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22111011121120 is an abundant number, since it is smaller than the sum of its proper divisors (31292901702848).

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

22111011121120 is a wasteful number, since it uses less digits than its factorization.

22111011121120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15055652 (or 15055644 counting only the distinct ones).

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

Adding to 22111011121120 its reverse (2112111011122), we get a palindrome (24223122132242).

The spelling of 22111011121120 in words is "twenty-two trillion, one hundred eleven billion, eleven million, one hundred twenty-one thousand, one hundred twenty".