216012016 has 40 divisors (see below), whose sum is σ = 461314224. Its totient is φ = 97167360.

The previous prime is 216011959. The next prime is 216012073. The reversal of 216012016 is 610210612.

It is an interprime number because it is at equal distance from previous prime (216011959) and next prime (216012073).

It is a super-2 number, since 2×216012016² = 93322382112768512, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 216011984 and 216012002.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 10746 + ... + 23398.

Almost surely, 2^216012016 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 216012016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (230657112).

216012016 is an abundant number, since it is smaller than the sum of its proper divisors (245302208).

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

216012016 is a wasteful number, since it uses less digits than its factorization.

216012016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12769 (or 12763 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 19.

The square root of 216012016 is about 14697.3472436355. The cubic root of 216012016 is about 600.0111257196.

Adding to 216012016 its reverse (610210612), we get a palindrome (826222628).

The spelling of 216012016 in words is "two hundred sixteen million, twelve thousand, sixteen".