212405235456 has 288 divisors, whose sum is σ = 601964213760. Its totient is φ = 66381299712.

The previous prime is 212405235439. The next prime is 212405235467. The reversal of 212405235456 is 654532504212.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 121581975 + ... + 121583721.

It is an arithmetic number, because the mean of its divisors is an integer number (2090153520).

Almost surely, 2^212405235456 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 212405235456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (300982106880).

212405235456 is an abundant number, since it is smaller than the sum of its proper divisors (389558978304).

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

212405235456 is a wasteful number, since it uses less digits than its factorization.

212405235456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1951 (or 1937 counting only the distinct ones).

The product of its (nonzero) digits is 288000, while the sum is 39.

Adding to 212405235456 its reverse (654532504212), we get a palindrome (866937739668).

The spelling of 212405235456 in words is "two hundred twelve billion, four hundred five million, two hundred thirty-five thousand, four hundred fifty-six".