212411565672 has 128 divisors (see below), whose sum is σ = 584962560000. Its totient is φ = 63975985920.

The previous prime is 212411565661. The next prime is 212411565731. The reversal of 212411565672 is 276565114212.

212411565672 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×212411565672³ (a number of 35 digits) contains 333 as substring.

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 31 ways as a sum of consecutive naturals, for example, 3631297 + ... + 3689327.

It is an arithmetic number, because the mean of its divisors is an integer number (4570020000).

Almost surely, 2^212411565672 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 212411565672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (292481280000).

212411565672 is an abundant number, since it is smaller than the sum of its proper divisors (372550994328).

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

212411565672 is a wasteful number, since it uses less digits than its factorization.

212411565672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 58431 (or 58427 counting only the distinct ones).

The product of its digits is 201600, while the sum is 42.

Adding to 212411565672 its reverse (276565114212), we get a palindrome (488976679884).

The spelling of 212411565672 in words is "two hundred twelve billion, four hundred eleven million, five hundred sixty-five thousand, six hundred seventy-two".