212565565212 has 192 divisors, whose sum is σ = 683939472384. Its totient is φ = 49587240960.

The previous prime is 212565565211. The next prime is 212565565229.

It is a happy number.

212565565212 is nontrivially palindromic in base 10.

212565565212 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (212565565211) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 205308 + ... + 683580.

It is an arithmetic number, because the mean of its divisors is an integer number (3562184752).

Almost surely, 2^212565565212 is an apocalyptic number.

212565565212 is a gapful number since it is divisible by the number (22) 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 212565565212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (341969736192).

212565565212 is an abundant number, since it is smaller than the sum of its proper divisors (471373907172).

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

212565565212 is a wasteful number, since it uses less digits than its factorization.

212565565212 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 478348 (or 478346 counting only the distinct ones).

The product of its digits is 360000, while the sum is 42.

It can be divided in two parts, 212565 and 565212, that added together give a palindrome (777777).

The spelling of 212565565212 in words is "two hundred twelve billion, five hundred sixty-five million, five hundred sixty-five thousand, two hundred twelve".