212112212100012 has 384 divisors, whose sum is σ = 638259184281600. Its totient is φ = 59668076224512.

The previous prime is 212112212099939. The next prime is 212112212100013. The reversal of 212112212100012 is 210001212211212.

212112212100012 is a `hidden beast` number, since 21 + 211 + 221 + 210 + 0 + 0 + 1 + 2 = 666.

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 (212112212100013) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 53986308064 + ... + 53986311992.

It is an arithmetic number, because the mean of its divisors is an integer number (1662133292400).

Almost surely, 2^{212112212100012} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 212112212100012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (319129592140800).

212112212100012 is an abundant number, since it is smaller than the sum of its proper divisors (426146972181588).

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

212112212100012 is a wasteful number, since it uses less digits than its factorization.

212112212100012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8102 (or 8094 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 212112212100012 its reverse (210001212211212), we get a palindrome (422113424311224).

The spelling of 212112212100012 in words is "two hundred twelve trillion, one hundred twelve billion, two hundred twelve million, one hundred thousand, twelve".