212112110120 has 16 divisors (see below), whose sum is σ = 477252247860. Its totient is φ = 84844844032.

The previous prime is 212112110081. The next prime is 212112110137. The reversal of 212112110120 is 21011211212.

212112110120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 209209271236 + 2902838884 = 457394^2 + 53878^2 .

It is a junction number, because it is equal to n+sod(n) for n = 212112110095 and 212112110104.

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 3 ways as a sum of consecutive naturals, for example, 2651401337 + ... + 2651401416.

Almost surely, 2^212112110120 is an apocalyptic number.

212112110120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

212112110120 is an abundant number, since it is smaller than the sum of its proper divisors (265140137740).

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

212112110120 is a wasteful number, since it uses less digits than its factorization.

212112110120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5302802764 (or 5302802760 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 212112110120 its reverse (21011211212), we get a palindrome (233123321332).

The spelling of 212112110120 in words is "two hundred twelve billion, one hundred twelve million, one hundred ten thousand, one hundred twenty".