212112121000012 has 192 divisors, whose sum is σ = 404604508492800. Its totient is φ = 96932923637760.

The previous prime is 212112120999997. The next prime is 212112121000027. The reversal of 212112121000012 is 210000121211212.

212112121000012 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 (212112120999997) and next prime (212112121000027).

It is a self number, because there is not a number n which added to its sum of digits gives 212112121000012.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 145381850539 + ... + 145381851997.

It is an arithmetic number, because the mean of its divisors is an integer number (2107315148400).

Almost surely, 2^{212112121000012} is an apocalyptic number.

It is an amenable number.

212112121000012 is a deficient number, since it is larger than the sum of its proper divisors (192492387492788).

212112121000012 is a wasteful number, since it uses less digits than its factorization.

212112121000012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3104 (or 3102 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 16.

Adding to 212112121000012 its reverse (210000121211212), we get a palindrome (422112242211224).

The spelling of 212112121000012 in words is "two hundred twelve trillion, one hundred twelve billion, one hundred twenty-one million, twelve", and thus it is an aban number.