216123312 has 80 divisors (see below), whose sum is σ = 611612640. Its totient is φ = 65458176.

The previous prime is 216123293. The next prime is 216123317. The reversal of 216123312 is 213321612.

216123312 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (216123317) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 19098 + ... + 28230.

It is an arithmetic number, because the mean of its divisors is an integer number (7645158).

Almost surely, 2^216123312 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 216123312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (305806320).

216123312 is an abundant number, since it is smaller than the sum of its proper divisors (395489328).

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

216123312 is a wasteful number, since it uses less digits than its factorization.

216123312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9190 (or 9184 counting only the distinct ones).

The product of its digits is 432, while the sum is 21.

The square root of 216123312 is about 14701.1330175602. The cubic root of 216123312 is about 600.1141560571.

Adding to 216123312 its reverse (213321612), we get a palindrome (429444924).

The spelling of 216123312 in words is "two hundred sixteen million, one hundred twenty-three thousand, three hundred twelve".