222102120120120 has 384 divisors, whose sum is σ = 764476502400000. Its totient is φ = 55766986665984.

The previous prime is 222102120120109. The next prime is 222102120120131. The reversal of 222102120120120 is 21021021201222.

It is a happy number.

222102120120120 is a `hidden beast` number, since 2 + 2 + 210 + 212 + 0 + 120 + 120 = 666.

It is an interprime number because it is at equal distance from previous prime (222102120120109) and next prime (222102120120131).

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 = 222102120120093 and 222102120120102.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1250817264 + ... + 1250994816.

It is an arithmetic number, because the mean of its divisors is an integer number (1990824225000).

Almost surely, 2^{222102120120120} is an apocalyptic number.

222102120120120 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 222102120120120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (382238251200000).

222102120120120 is an abundant number, since it is smaller than the sum of its proper divisors (542374382279880).

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

222102120120120 is a wasteful number, since it uses less digits than its factorization.

222102120120120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 178707 (or 178700 counting only the distinct ones).

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

Adding to 222102120120120 its reverse (21021021201222), we get a palindrome (243123141321342).

The spelling of 222102120120120 in words is "two hundred twenty-two trillion, one hundred two billion, one hundred twenty million, one hundred twenty thousand, one hundred twenty".