212032200002112 has 168 divisors, whose sum is σ = 694898178391872. Its totient is φ = 60552330624000.

The previous prime is 212032200002101. The next prime is 212032200002191. The reversal of 212032200002112 is 211200002230212.

It is a tau number, because it is divible by the number of its divisors (168).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3648514 + ... + 20913537.

It is an arithmetic number, because the mean of its divisors is an integer number (4136298680904).

Almost surely, 2^{212032200002112} 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 212032200002112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (347449089195936).

212032200002112 is an abundant number, since it is smaller than the sum of its proper divisors (482865978389760).

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

212032200002112 is a wasteful number, since it uses less digits than its factorization.

212032200002112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24564217 (or 24564204 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 212032200002112 its reverse (211200002230212), we get a palindrome (423232202232324).

The spelling of 212032200002112 in words is "two hundred twelve trillion, thirty-two billion, two hundred million, two thousand, one hundred twelve".