222110220021120 has 192 divisors, whose sum is σ = 767468250712800. Its totient is φ = 59191250927616.

The previous prime is 222110220021089. The next prime is 222110220021143. The reversal of 222110220021120 is 21120022011222.

It is a happy number.

222110220021120 is a `hidden beast` number, since 2 + 2 + 211 + 0 + 220 + 0 + 211 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

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 = 222110220021093 and 222110220021102.

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 23 ways as a sum of consecutive naturals, for example, 3469660 + ... + 21360219.

Almost surely, 2^{222110220021120} is an apocalyptic number.

222110220021120 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 222110220021120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (383734125356400).

222110220021120 is an abundant number, since it is smaller than the sum of its proper divisors (545358030691680).

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

222110220021120 is a wasteful number, since it uses less digits than its factorization.

222110220021120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24831457 (or 24831442 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 222110220021120 its reverse (21120022011222), we get a palindrome (243230242032342).

The spelling of 222110220021120 in words is "two hundred twenty-two trillion, one hundred ten billion, two hundred twenty million, twenty-one thousand, one hundred twenty".