212222002222120 has 64 divisors (see below), whose sum is σ = 520910292047040. Its totient is φ = 77171379225600.

The previous prime is 212222002222073. The next prime is 212222002222123. The reversal of 212222002222120 is 21222200222212.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a junction number, because it is equal to n+sod(n) for n = 212222002222091 and 212222002222100.

It is not an unprimeable number, because it can be changed into a prime (212222002222123) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 174019999 + ... + 175235281.

It is an arithmetic number, because the mean of its divisors is an integer number (8139223313235).

Almost surely, 2^{212222002222120} is an apocalyptic number.

212222002222120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

212222002222120 is an abundant number, since it is smaller than the sum of its proper divisors (308688289824920).

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

212222002222120 is a wasteful number, since it uses less digits than its factorization.

212222002222120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1612186 (or 1612182 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 22.

Adding to 212222002222120 its reverse (21222200222212), we get a palindrome (233444202444332).

The spelling of 212222002222120 in words is "two hundred twelve trillion, two hundred twenty-two billion, two million, two hundred twenty-two thousand, one hundred twenty".