212253124050 has 216 divisors, whose sum is σ = 627510292500. Its totient is φ = 51397632000.

The previous prime is 212253124049. The next prime is 212253124067. The reversal of 212253124050 is 50421352212.

212253124050 is a `hidden beast` number, since 2 + 1 + 2 + 253 + 1 + 2 + 405 + 0 = 666.

212253124050 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 6 ways, for example, as 9912392721 + 202340731329 = 99561^2 + 449823^2 .

It is an unprimeable number.

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 107 ways as a sum of consecutive naturals, for example, 68006490 + ... + 68009610.

Almost surely, 2^212253124050 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 212253124050, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (313755146250).

212253124050 is an abundant number, since it is smaller than the sum of its proper divisors (415257168450).

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

212253124050 is a wasteful number, since it uses less digits than its factorization.

212253124050 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4410 (or 4391 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 27.

Adding to 212253124050 its reverse (50421352212), we get a palindrome (262674476262).

The spelling of 212253124050 in words is "two hundred twelve billion, two hundred fifty-three million, one hundred twenty-four thousand, fifty".