212067133668 has 192 divisors, whose sum is σ = 602781975040. Its totient is φ = 64077350400.

The previous prime is 212067133667. The next prime is 212067133673. The reversal of 212067133668 is 866331760212.

212067133668 is a `hidden beast` number, since 212 + 0 + 6 + 71 + 3 + 366 + 8 = 666.

It is a super-2 number, since 2×212067133668² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (212067133667) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 64830873 + ... + 64834143.

Almost surely, 2^212067133668 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 212067133668, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (301390987520).

212067133668 is an abundant number, since it is smaller than the sum of its proper divisors (390714841372).

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

212067133668 is a wasteful number, since it uses less digits than its factorization.

212067133668 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4115 (or 4107 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 45.

The spelling of 212067133668 in words is "two hundred twelve billion, sixty-seven million, one hundred thirty-three thousand, six hundred sixty-eight".