212112212121120 has 192 divisors, whose sum is σ = 702948542438016. Its totient is φ = 53692214353920.

The previous prime is 212112212120969. The next prime is 212112212121167. The reversal of 212112212121120 is 21121212211212.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 144921294 + ... + 146377613.

It is an arithmetic number, because the mean of its divisors is an integer number (3661190325198).

Almost surely, 2^{212112212121120} is an apocalyptic number.

212112212121120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

212112212121120 is an abundant number, since it is smaller than the sum of its proper divisors (490836330316896).

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

212112212121120 is a wasteful number, since it uses less digits than its factorization.

212112212121120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 291299003 (or 291298995 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 21.

Adding to 212112212121120 its reverse (21121212211212), we get a palindrome (233233424332332).

The spelling of 212112212121120 in words is "two hundred twelve trillion, one hundred twelve billion, two hundred twelve million, one hundred twenty-one thousand, one hundred twenty".