216321123612 has 96 divisors (see below), whose sum is σ = 574715119104. Its totient is φ = 62686624000.

The previous prime is 216321123611. The next prime is 216321123737.

216321123612 is nontrivially palindromic in base 10.

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

It is a self number, because there is not a number n which added to its sum of digits gives 216321123612.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (216321123611) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 20994862 + ... + 21005162.

It is an arithmetic number, because the mean of its divisors is an integer number (5986615824).

Almost surely, 2^216321123612 is an apocalyptic number.

216321123612 is a gapful number since it is divisible by the number (22) 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 216321123612, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (287357559552).

216321123612 is an abundant number, since it is smaller than the sum of its proper divisors (358393995492).

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

216321123612 is a wasteful number, since it uses less digits than its factorization.

216321123612 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17259 (or 17257 counting only the distinct ones).

The product of its digits is 5184, while the sum is 30.

It can be divided in two parts, 216321 and 123612, that added together give a palindrome (339933).

The spelling of 216321123612 in words is "two hundred sixteen billion, three hundred twenty-one million, one hundred twenty-three thousand, six hundred twelve".