212434423241000 has 32 divisors (see below), whose sum is σ = 497096550386280. Its totient is φ = 84973769296000.

The previous prime is 212434423240997. The next prime is 212434423241003. The reversal of 212434423241000 is 142324434212.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (212434423240997) and next prime (212434423241003).

It can be written as a sum of positive squares in 4 ways, for example, as 90391453383364 + 122042969857636 = 9507442^2 + 11047306^2 .

It is not an unprimeable number, because it can be changed into a prime (212434423241003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 106217210621 + ... + 106217212620.

Almost surely, 2^{212434423241000} is an apocalyptic number.

212434423241000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

212434423241000 is an abundant number, since it is smaller than the sum of its proper divisors (284662127145280).

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

212434423241000 is a wasteful number, since it uses less digits than its factorization.

212434423241000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 212434423262 (or 212434423248 counting only the distinct ones).

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

Adding to 212434423241000 its reverse (142324434212), we get a palindrome (212576747675212).

The spelling of 212434423241000 in words is "two hundred twelve trillion, four hundred thirty-four billion, four hundred twenty-three million, two hundred forty-one thousand".