212211661160 has 64 divisors (see below), whose sum is σ = 479433139920. Its totient is φ = 84537077760.

The previous prime is 212211661159. The next prime is 212211661199. The reversal of 212211661160 is 61166112212.

212211661160 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 8 ways, for example, as 178673599204 + 33538061956 = 422698^2 + 183134^2 .

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 15 ways as a sum of consecutive naturals, for example, 33912752 + ... + 33919008.

Almost surely, 2^212211661160 is an apocalyptic number.

212211661160 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

212211661160 is an abundant number, since it is smaller than the sum of its proper divisors (267221478760).

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

212211661160 is a wasteful number, since it uses less digits than its factorization.

212211661160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9606 (or 9602 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 29.

Adding to 212211661160 its reverse (61166112212), we get a palindrome (273377773372).

The spelling of 212211661160 in words is "two hundred twelve billion, two hundred eleven million, six hundred sixty-one thousand, one hundred sixty".