212434000434212 has 48 divisors (see below), whose sum is σ = 392601453189120. Its totient is φ = 100373578898208.

The previous prime is 212434000434167. The next prime is 212434000434239.

It is a happy number.

212434000434212 is nontrivially palindromic in base 10.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 1167751253 + ... + 1167933155.

It is an arithmetic number, because the mean of its divisors is an integer number (8179196941440).

Almost surely, 2^{212434000434212} is an apocalyptic number.

It is an amenable number.

212434000434212 is a deficient number, since it is larger than the sum of its proper divisors (180167452754908).

212434000434212 is a wasteful number, since it uses less digits than its factorization.

212434000434212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 334952 (or 334950 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 32.

It can be divided in two parts, 212434000 and 434212, that added together give a palindrome (212868212).

The spelling of 212434000434212 in words is "two hundred twelve trillion, four hundred thirty-four billion, four hundred thirty-four thousand, two hundred twelve".