212434032010200 has 768 divisors, whose sum is σ = 908098367984640. Its totient is φ = 39645324288000.

The previous prime is 212434032010133. The next prime is 212434032010201. The reversal of 212434032010200 is 2010230434212.

It is a happy number.

It is a super-2 number, since 2×212434032010200² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (212434032010201) 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 191 ways as a sum of consecutive naturals, for example, 17442430 + ... + 27001970.

It is an arithmetic number, because the mean of its divisors is an integer number (1182419749980).

Almost surely, 2^{212434032010200} is an apocalyptic number.

212434032010200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 212434032010200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (454049183992320).

212434032010200 is an abundant number, since it is smaller than the sum of its proper divisors (695664335974440).

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

212434032010200 is a wasteful number, since it uses less digits than its factorization.

212434032010200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9559628 (or 9559619 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 212434032010200 its reverse (2010230434212), we get a palindrome (214444262444412).

The spelling of 212434032010200 in words is "two hundred twelve trillion, four hundred thirty-four billion, thirty-two million, ten thousand, two hundred".