212140320 has 192 divisors, whose sum is σ = 804142080. Its totient is φ = 45923328.

The previous prime is 212140309. The next prime is 212140337. The reversal of 212140320 is 23041212.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 212140320.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 62179 + ... + 65501.

It is an arithmetic number, because the mean of its divisors is an integer number (4188240).

Almost surely, 2^212140320 is an apocalyptic number.

212140320 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 212140320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (402071040).

212140320 is an abundant number, since it is smaller than the sum of its proper divisors (592001760).

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

212140320 is a wasteful number, since it uses less digits than its factorization.

212140320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3367 (or 3359 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

The square root of 212140320 is about 14565.0375900648. The cubic root of 212140320 is about 596.4047218778.

Adding to 212140320 its reverse (23041212), we get a palindrome (235181532).

The spelling of 212140320 in words is "two hundred twelve million, one hundred forty thousand, three hundred twenty".