212302300320 has 768 divisors, whose sum is σ = 863857612800. Its totient is φ = 48153968640.

The previous prime is 212302300313. The next prime is 212302300321. The reversal of 212302300320 is 23003203212.

It is a happy number.

212302300320 is a `hidden beast` number, since 2 + 12 + 30 + 2 + 300 + 320 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 212302300293 and 212302300302.

It is not an unprimeable number, because it can be changed into a prime (212302300321) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 74937624 + ... + 74940456.

It is an arithmetic number, because the mean of its divisors is an integer number (1124814600).

Almost surely, 2^212302300320 is an apocalyptic number.

212302300320 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 212302300320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (431928806400).

212302300320 is an abundant number, since it is smaller than the sum of its proper divisors (651555312480).

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

212302300320 is a wasteful number, since it uses less digits than its factorization.

212302300320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2970 (or 2956 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 18.

Adding to 212302300320 its reverse (23003203212), we get a palindrome (235305503532).

The spelling of 212302300320 in words is "two hundred twelve billion, three hundred two million, three hundred thousand, three hundred twenty".