212005522105 has 48 divisors (see below), whose sum is σ = 301745288880. Its totient is φ = 142267367424.

The previous prime is 212005522103. The next prime is 212005522133. The reversal of 212005522105 is 501225500212.

It can be written as a sum of positive squares in 24 ways, for example, as 131952742009 + 80052780096 = 363253^2 + 282936^2 .

It is not a de Polignac number, because 212005522105 - 2¹ = 212005522103 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 212005522105.

It is not an unprimeable number, because it can be changed into a prime (212005522103) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 162129 + ... + 671041.

It is an arithmetic number, because the mean of its divisors is an integer number (6286360185).

Almost surely, 2^212005522105 is an apocalyptic number.

It is an amenable number.

212005522105 is a deficient number, since it is larger than the sum of its proper divisors (89739766775).

212005522105 is a wasteful number, since it uses less digits than its factorization.

212005522105 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 508990 (or 508977 counting only the distinct ones).

The product of its (nonzero) digits is 2000, while the sum is 25.

The spelling of 212005522105 in words is "two hundred twelve billion, five million, five hundred twenty-two thousand, one hundred five".