222100222200120 has 256 divisors, whose sum is σ = 807956379072000. Its totient is φ = 53821197619200.

The previous prime is 222100222200097. The next prime is 222100222200173. The reversal of 222100222200120 is 21002222001222.

222100222200120 is a `hidden beast` number, since 2 + 22 + 100 + 222 + 200 + 120 = 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 = 222100222200093 and 222100222200102.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 26375016 + ... + 33761544.

It is an arithmetic number, because the mean of its divisors is an integer number (3156079605750).

Almost surely, 2^{222100222200120} is an apocalyptic number.

222100222200120 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 222100222200120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (403978189536000).

222100222200120 is an abundant number, since it is smaller than the sum of its proper divisors (585856156871880).

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

222100222200120 is a wasteful number, since it uses less digits than its factorization.

222100222200120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7389091 (or 7389081 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

Adding to 222100222200120 its reverse (21002222001222), we get a palindrome (243102444201342).

It can be divided in two parts, 2 and 22100222200120, that added together give a palindrome (22100222200122).

The spelling of 222100222200120 in words is "two hundred twenty-two trillion, one hundred billion, two hundred twenty-two million, two hundred thousand, one hundred twenty".