212430124320 has 192 divisors, whose sum is σ = 672831774720. Its totient is φ = 56337701888.

The previous prime is 212430124297. The next prime is 212430124327. The reversal of 212430124320 is 23421034212.

It is a happy number.

It is a super-2 number, since 2×212430124320² (a number of 23 digits) contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (212430124327) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 73784641 + ... + 73787519.

It is an arithmetic number, because the mean of its divisors is an integer number (3504332160).

Almost surely, 2^212430124320 is an apocalyptic number.

212430124320 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 212430124320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (336415887360).

212430124320 is an abundant number, since it is smaller than the sum of its proper divisors (460401650400).

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

212430124320 is a wasteful number, since it uses less digits than its factorization.

212430124320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3687 (or 3679 counting only the distinct ones).

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

Adding to 212430124320 its reverse (23421034212), we get a palindrome (235851158532).

The spelling of 212430124320 in words is "two hundred twelve billion, four hundred thirty million, one hundred twenty-four thousand, three hundred twenty".