212010222002112 has 336 divisors, whose sum is σ = 648066726216000. Its totient is φ = 66034770739200.

The previous prime is 212010222002041. The next prime is 212010222002123. The reversal of 212010222002112 is 211200222010212.

It is a happy number.

212010222002112 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2645161014 + ... + 2645241162.

It is an arithmetic number, because the mean of its divisors is an integer number (1928770018500).

Almost surely, 2^{212010222002112} 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 212010222002112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (324033363108000).

212010222002112 is an abundant number, since it is smaller than the sum of its proper divisors (436056504213888).

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

212010222002112 is a wasteful number, since it uses less digits than its factorization.

212010222002112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 82124 (or 82111 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 212010222002112 its reverse (211200222010212), we get a palindrome (423210444012324).

The spelling of 212010222002112 in words is "two hundred twelve trillion, ten billion, two hundred twenty-two million, two thousand, one hundred twelve".