20222112111120 has 60 divisors (see below), whose sum is σ = 67912593175596. Its totient is φ = 5392563229440.

The previous prime is 20222112111107. The next prime is 20222112111143. The reversal of 20222112111120 is 2111121122202.

20222112111120 is a `hidden beast` number, since 202 + 221 + 1 + 211 + 11 + 20 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 15301115248896 + 4920996862224 = 3911664^2 + 2218332^2 .

It is a tau number, because it is divible by the number of its divisors (60).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 20222112111093 and 20222112111102.

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 11 ways as a sum of consecutive naturals, for example, 14043132691 + ... + 14043134130.

Almost surely, 2^{20222112111120} is an apocalyptic number.

20222112111120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20222112111120 is an abundant number, since it is smaller than the sum of its proper divisors (47690481064476).

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

20222112111120 is a wasteful number, since it uses less digits than its factorization.

20222112111120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28086266840 (or 28086266831 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 20222112111120 its reverse (2111121122202), we get a palindrome (22333233233322).

The spelling of 20222112111120 in words is "twenty trillion, two hundred twenty-two billion, one hundred twelve million, one hundred eleven thousand, one hundred twenty".