2222202210120 has 256 divisors, whose sum is σ = 7427911680000. Its totient is φ = 590944128768.

The previous prime is 2222202210103. The next prime is 2222202210149. The reversal of 2222202210120 is 210122022222.

2222202210120 is a `hidden beast` number, since 222 + 220 + 2 + 210 + 12 + 0 = 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 = 2222202210093 and 2222202210102.

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, 917127229 + ... + 917129651.

It is an arithmetic number, because the mean of its divisors is an integer number (29015280000).

Almost surely, 2^{2222202210120} is an apocalyptic number.

2222202210120 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 2222202210120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3713955840000).

2222202210120 is an abundant number, since it is smaller than the sum of its proper divisors (5205709469880).

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

2222202210120 is a wasteful number, since it uses less digits than its factorization.

2222202210120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4449 (or 4439 counting only the distinct ones).

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

Adding to 2222202210120 its reverse (210122022222), we get a palindrome (2432324232342).

The spelling of 2222202210120 in words is "two trillion, two hundred twenty-two billion, two hundred two million, two hundred ten thousand, one hundred twenty".