222112102011120 has 320 divisors, whose sum is σ = 810103218468480. Its totient is φ = 55742526259200.

The previous prime is 222112102011113. The next prime is 222112102011169. The reversal of 222112102011120 is 21110201211222.

222112102011120 is a `hidden beast` number, since 2 + 221 + 1 + 210 + 201 + 11 + 20 = 666.

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 = 222112102011093 and 222112102011102.

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 63 ways as a sum of consecutive naturals, for example, 662297880 + ... + 662633160.

It is an arithmetic number, because the mean of its divisors is an integer number (2531572557714).

Almost surely, 2^{222112102011120} is an apocalyptic number.

222112102011120 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 222112102011120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (405051609234240).

222112102011120 is an abundant number, since it is smaller than the sum of its proper divisors (587991116457360).

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

222112102011120 is a wasteful number, since it uses less digits than its factorization.

222112102011120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 353361 (or 353349 counting only the distinct ones).

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

Adding to 222112102011120 its reverse (21110201211222), we get a palindrome (243222303222342).

The spelling of 222112102011120 in words is "two hundred twenty-two trillion, one hundred twelve billion, one hundred two million, eleven thousand, one hundred twenty".