216017120 has 96 divisors (see below), whose sum is σ = 561375360. Its totient is φ = 77898240.

The previous prime is 216017119. The next prime is 216017141. The reversal of 216017120 is 21710612.

It is a super-2 number, since 2×216017120² = 93326792266188800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 216017092 and 216017101.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 244199 + ... + 245081.

It is an arithmetic number, because the mean of its divisors is an integer number (5847660).

Almost surely, 2^216017120 is an apocalyptic number.

216017120 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 216017120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (280687680).

216017120 is an abundant number, since it is smaller than the sum of its proper divisors (345358240).

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

216017120 is a wasteful number, since it uses less digits than its factorization.

216017120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1048 (or 1040 counting only the distinct ones).

The product of its (nonzero) digits is 168, while the sum is 20.

The square root of 216017120 is about 14697.5208793864. The cubic root of 216017120 is about 600.0158514331.

Adding to 216017120 its reverse (21710612), we get a palindrome (237727732).

The spelling of 216017120 in words is "two hundred sixteen million, seventeen thousand, one hundred twenty".