212305320 has 64 divisors (see below), whose sum is σ = 707688000. Its totient is φ = 56614464.

The previous prime is 212305307. The next prime is 212305321. The reversal of 212305320 is 23503212.

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 = 212305293 and 212305302.

It is not an unprimeable number, because it can be changed into a prime (212305321) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 97210 + ... + 99369.

It is an arithmetic number, because the mean of its divisors is an integer number (11057625).

Almost surely, 2^212305320 is an apocalyptic number.

212305320 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

212305320 is an abundant number, since it is smaller than the sum of its proper divisors (495382680).

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

212305320 is a wasteful number, since it uses less digits than its factorization.

212305320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 196599 (or 196589 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 18.

The square root of 212305320 is about 14570.7007381251. The cubic root of 212305320 is about 596.5593071023.

Adding to 212305320 its reverse (23503212), we get a palindrome (235808532).

The spelling of 212305320 in words is "two hundred twelve million, three hundred five thousand, three hundred twenty".