212222202200082 has 128 divisors (see below), whose sum is σ = 528852462566400. Its totient is φ = 62688363395328.

The previous prime is 212222202200081. The next prime is 212222202200119. The reversal of 212222202200082 is 280002202222212.

212222202200082 is a `hidden beast` number, since 212 + 2 + 2 + 220 + 220 + 0 + 0 + 8 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (212222202200081) 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 63 ways as a sum of consecutive naturals, for example, 34479988 + ... + 40166079.

It is an arithmetic number, because the mean of its divisors is an integer number (4131659863800).

Almost surely, 2^{212222202200082} is an apocalyptic number.

212222202200082 is an abundant number, since it is smaller than the sum of its proper divisors (316630260366318).

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

212222202200082 is a wasteful number, since it uses less digits than its factorization.

212222202200082 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 74646277 (or 74646271 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 27.

Adding to 212222202200082 its reverse (280002202222212), we get a palindrome (492224404422294).

The spelling of 212222202200082 in words is "two hundred twelve trillion, two hundred twenty-two billion, two hundred two million, two hundred thousand, eighty-two".