212443004310432 has 384 divisors, whose sum is σ = 647665457725440. Its totient is φ = 59721750282240.

The previous prime is 212443004310419. The next prime is 212443004310473. The reversal of 212443004310432 is 234013400344212.

212443004310432 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 212443004310393 and 212443004310402.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 9535560669 + ... + 9535582947.

It is an arithmetic number, because the mean of its divisors is an integer number (1686628796160).

Almost surely, 2^{212443004310432} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 212443004310432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (323832728862720).

212443004310432 is an abundant number, since it is smaller than the sum of its proper divisors (435222453415008).

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

212443004310432 is a wasteful number, since it uses less digits than its factorization.

212443004310432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23244 (or 23236 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 33.

Adding to 212443004310432 its reverse (234013400344212), we get a palindrome (446456404654644).

The spelling of 212443004310432 in words is "two hundred twelve trillion, four hundred forty-three billion, four million, three hundred ten thousand, four hundred thirty-two".