212541542304 has 576 divisors, whose sum is σ = 726493888512. Its totient is φ = 53870745600.

The previous prime is 212541542281. The next prime is 212541542309. The reversal of 212541542304 is 403245145212.

It is not an unprimeable number, because it can be changed into a prime (212541542309) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 362080699 + ... + 362081285.

It is an arithmetic number, because the mean of its divisors is an integer number (1261274112).

Almost surely, 2^212541542304 is an apocalyptic number.

212541542304 is a gapful number since it is divisible by the number (24) 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 212541542304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (363246944256).

212541542304 is an abundant number, since it is smaller than the sum of its proper divisors (513952346208).

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

212541542304 is a wasteful number, since it uses less digits than its factorization.

212541542304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 849 (or 834 counting only the distinct ones).

The product of its (nonzero) digits is 38400, while the sum is 33.

Adding to 212541542304 its reverse (403245145212), we get a palindrome (615786687516).

The spelling of 212541542304 in words is "two hundred twelve billion, five hundred forty-one million, five hundred forty-two thousand, three hundred four".