212242212 has 288 divisors, whose sum is σ = 725018112. Its totient is φ = 50761728.

The previous prime is 212242211. The next prime is 212242223.

212242212 is a `hidden beast` number, since 212 + 242 + 212 = 666.

212242212 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 nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (212242211) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2060553 + ... + 2060655.

It is an arithmetic number, because the mean of its divisors is an integer number (2517424).

Almost surely, 2^212242212 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 212242212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (362509056).

212242212 is an abundant number, since it is smaller than the sum of its proper divisors (512775900).

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

212242212 is a wasteful number, since it uses less digits than its factorization.

212242212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 187 (or 182 counting only the distinct ones).

The product of its digits is 256, while the sum is 18.

The square root of 212242212 is about 14568.5349984135. The cubic root of 212242212 is about 596.5001919317.

It can be divided in two parts, 21224 and 2212, that added together give a triangular number (23436 = T₂₁₆).

The spelling of 212242212 in words is "two hundred twelve million, two hundred forty-two thousand, two hundred twelve".