212233113122112 has 168 divisors, whose sum is σ = 627996477588480. Its totient is φ = 68457377756160.

The previous prime is 212233113122083. The next prime is 212233113122119. The reversal of 212233113122112 is 211221311332212.

212233113122112 is a `hidden beast` number, since 2 + 1 + 2 + 2 + 3 + 311 + 312 + 21 + 12 = 666.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (212233113122119) 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 23 ways as a sum of consecutive naturals, for example, 252403378 + ... + 253242830.

It is an arithmetic number, because the mean of its divisors is an integer number (3738074271360).

Almost surely, 2^{212233113122112} 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 212233113122112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (313998238794240).

212233113122112 is an abundant number, since it is smaller than the sum of its proper divisors (415763364466368).

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

212233113122112 is a wasteful number, since it uses less digits than its factorization.

212233113122112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 853661 (or 853648 counting only the distinct ones).

The product of its digits is 1728, while the sum is 27.

Adding to 212233113122112 its reverse (211221311332212), we get a palindrome (423454424454324).

The spelling of 212233113122112 in words is "two hundred twelve trillion, two hundred thirty-three billion, one hundred thirteen million, one hundred twenty-two thousand, one hundred twelve".