212211000112212 has 144 divisors (see below), whose sum is σ = 559238474296320. Its totient is φ = 67773770496000.

The previous prime is 212211000112207. The next prime is 212211000112231.

212211000112212 is a `hidden beast` number, since 21 + 221 + 100 + 0 + 112 + 212 = 666.

212211000112212 is nontrivially palindromic in base 10.

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

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 2808732228 + ... + 2808807780.

Almost surely, 2^{212211000112212} 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 212211000112212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (279619237148160).

212211000112212 is an abundant number, since it is smaller than the sum of its proper divisors (347027474184108).

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

212211000112212 is a wasteful number, since it uses less digits than its factorization.

212211000112212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 100614 (or 100609 counting only the distinct ones).

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

It can be divided in two parts, 212211000 and 112212, that added together give a palindrome (212323212).

The spelling of 212211000112212 in words is "two hundred twelve trillion, two hundred eleven billion, one hundred twelve thousand, two hundred twelve".