212212434434100 has 144 divisors (see below), whose sum is σ = 655663246533120. Its totient is φ = 52876068134400.

The previous prime is 212212434434053. The next prime is 212212434434101. The reversal of 212212434434100 is 1434434212212.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (212212434434101) 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 47 ways as a sum of consecutive naturals, for example, 393153427 + ... + 393692826.

Almost surely, 2^{212212434434100} is an apocalyptic number.

212212434434100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

212212434434100 is an abundant number, since it is smaller than the sum of its proper divisors (443450812099020).

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

212212434434100 is a wasteful number, since it uses less digits than its factorization.

212212434434100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 786846330 (or 786846323 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 33.

Adding to 212212434434100 its reverse (1434434212212), we get a palindrome (213646868646312).

The spelling of 212212434434100 in words is "two hundred twelve trillion, two hundred twelve billion, four hundred thirty-four million, four hundred thirty-four thousand, one hundred".