222112222100120 has 64 divisors (see below), whose sum is σ = 545188703616000. Its totient is φ = 80767464695680.

The previous prime is 222112222100099. The next prime is 222112222100161. The reversal of 222112222100120 is 21001222211222.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 222112222100092 and 222112222100101.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 57938297 + ... + 61652823.

It is an arithmetic number, because the mean of its divisors is an integer number (8518573494000).

Almost surely, 2^{222112222100120} is an apocalyptic number.

222112222100120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

222112222100120 is an abundant number, since it is smaller than the sum of its proper divisors (323076481515880).

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

222112222100120 is a wasteful number, since it uses less digits than its factorization.

222112222100120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3850448 (or 3850444 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 20.

Adding to 222112222100120 its reverse (21001222211222), we get a palindrome (243113444311342).

It can be divided in two parts, 22211222 and 2100120, that added together give a palindrome (24311342).

The spelling of 222112222100120 in words is "two hundred twenty-two trillion, one hundred twelve billion, two hundred twenty-two million, one hundred thousand, one hundred twenty".