216123300 has 108 divisors (see below), whose sum is σ = 694067556. Its totient is φ = 56217600.

The previous prime is 216123293. The next prime is 216123317. The reversal of 216123300 is 3321612.

216123300 is a `hidden beast` number, since 21 + 612 + 3 + 30 + 0 = 666.

216123300 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 6 ways, for example, as 4769856 + 211353444 = 2184^2 + 14538^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 33972 + ... + 39828.

Almost surely, 2^216123300 is an apocalyptic number.

216123300 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 216123300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (347033778).

216123300 is an abundant number, since it is smaller than the sum of its proper divisors (477944256).

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

216123300 is a wasteful number, since it uses less digits than its factorization.

216123300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5918 (or 5908 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

The square root of 216123300 is about 14701.1326094284. The cubic root of 216123300 is about 600.1141449502.

Adding to 216123300 its reverse (3321612), we get a palindrome (219444912).

The spelling of 216123300 in words is "two hundred sixteen million, one hundred twenty-three thousand, three hundred".