212320420 has 48 divisors (see below), whose sum is σ = 481889520. Its totient is φ = 78114816.

The previous prime is 212320417. The next prime is 212320453. The reversal of 212320420 is 24023212.

It can be written as a sum of positive squares in 8 ways, for example, as 73410624 + 138909796 = 8568^2 + 11786^2 .

It is a junction number, because it is equal to n+sod(n) for n = 212320394 and 212320403.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 80076 + ... + 82684.

It is an arithmetic number, because the mean of its divisors is an integer number (10039365).

Almost surely, 2^212320420 is an apocalyptic number.

212320420 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 212320420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (240944760).

212320420 is an abundant number, since it is smaller than the sum of its proper divisors (269569100).

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

212320420 is a wasteful number, since it uses less digits than its factorization.

212320420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2944 (or 2942 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 16.

The square root of 212320420 is about 14571.2188920488. The cubic root of 212320420 is about 596.5734499917.

Adding to 212320420 its reverse (24023212), we get a palindrome (236343632).

The spelling of 212320420 in words is "two hundred twelve million, three hundred twenty thousand, four hundred twenty".