210112121211012 has 36 divisors (see below), whose sum is σ = 545471257621836. Its totient is φ = 68144471743680.

The previous prime is 210112121211007. The next prime is 210112121211019.

It is a happy number.

210112121211012 is a `hidden beast` number, since 210 + 1 + 121 + 212 + 110 + 12 = 666.

210112121211012 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in 2 ways, for example, as 85469544260676 + 124642576950336 = 9244974^2 + 11164344^2 .

It is a tau number, because it is divible by the number of its divisors (36).

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 (210112121211019) 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 11 ways as a sum of consecutive naturals, for example, 78870915039 + ... + 78870917702.

Almost surely, 2^{210112121211012} is an apocalyptic number.

It is an amenable number.

210112121211012 is an abundant number, since it is smaller than the sum of its proper divisors (335359136410824).

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

210112121211012 is a wasteful number, since it uses less digits than its factorization.

210112121211012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 157741832788 (or 157741832783 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 18.

The spelling of 210112121211012 in words is "two hundred ten trillion, one hundred twelve billion, one hundred twenty-one million, two hundred eleven thousand, twelve".