212430144300 has 288 divisors, whose sum is σ = 694088908800. Its totient is φ = 49696416000.

The previous prime is 212430144299. The next prime is 212430144301. The reversal of 212430144300 is 3441034212.

212430144300 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (212430144299) and next prime (212430144301).

It is not an unprimeable number, because it can be changed into a prime (212430144301) 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 95 ways as a sum of consecutive naturals, for example, 38768961 + ... + 38774439.

Almost surely, 2^212430144300 is an apocalyptic number.

212430144300 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 212430144300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (347044454400).

212430144300 is an abundant number, since it is smaller than the sum of its proper divisors (481658764500).

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

212430144300 is a wasteful number, since it uses less digits than its factorization.

212430144300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5917 (or 5910 counting only the distinct ones).

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

Adding to 212430144300 its reverse (3441034212), we get a palindrome (215871178512).

The spelling of 212430144300 in words is "two hundred twelve billion, four hundred thirty million, one hundred forty-four thousand, three hundred".