212304386160 has 240 divisors, whose sum is σ = 736142883840. Its totient is φ = 54797783040.

The previous prime is 212304386143. The next prime is 212304386167. The reversal of 212304386160 is 61683403212.

212304386160 is a `hidden beast` number, since 2 + 1 + 2 + 3 + 0 + 4 + 38 + 616 + 0 = 666.

212304386160 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (212304386167) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 3720726 + ... + 3777354.

It is an arithmetic number, because the mean of its divisors is an integer number (3067262016).

Almost surely, 2^212304386160 is an apocalyptic number.

212304386160 is a gapful number since it is divisible by the number (20) 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 212304386160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (368071441920).

212304386160 is an abundant number, since it is smaller than the sum of its proper divisors (523838497680).

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

212304386160 is a wasteful number, since it uses less digits than its factorization.

212304386160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56816 (or 56807 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

Adding to 212304386160 its reverse (61683403212), we get a palindrome (273987789372).

The spelling of 212304386160 in words is "two hundred twelve billion, three hundred four million, three hundred eighty-six thousand, one hundred sixty".