212120103312 has 120 divisors (see below), whose sum is σ = 676912784184. Its totient is φ = 61428436992.

The previous prime is 212120103311. The next prime is 212120103313. The reversal of 212120103312 is 213301021212.

212120103312 is a `hidden beast` number, since 212 + 120 + 1 + 0 + 331 + 2 = 666.

212120103312 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (212120103311) and next prime (212120103313).

It can be written as a sum of positive squares in 4 ways, for example, as 37748736 + 212082354576 = 6144^2 + 460524^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (212120103311) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 3300883 + ... + 3364530.

Almost surely, 2^212120103312 is an apocalyptic number.

It is an amenable number.

212120103312 is an abundant number, since it is smaller than the sum of its proper divisors (464792680872).

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

212120103312 is a wasteful number, since it uses less digits than its factorization.

212120103312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6665457 (or 6665448 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 212120103312 its reverse (213301021212), we get a palindrome (425421124524).

The spelling of 212120103312 in words is "two hundred twelve billion, one hundred twenty million, one hundred three thousand, three hundred twelve".