216001200 has 60 divisors (see below), whose sum is σ = 691927688. Its totient is φ = 57600000.

The previous prime is 216001199. The next prime is 216001217. The reversal of 216001200 is 2100612.

It is a tau number, because it is divible by the number of its divisors (60).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 88801 + ... + 91200.

Almost surely, 2^216001200 is an apocalyptic number.

216001200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

216001200 is an abundant number, since it is smaller than the sum of its proper divisors (475926488).

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

216001200 is a wasteful number, since it uses less digits than its factorization.

216001200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 180022 (or 180011 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

The square root of 216001200 is about 14696.9792814714. The cubic root of 216001200 is about 600.0011111091.

Adding to 216001200 its reverse (2100612), we get a palindrome (218101812).

The spelling of 216001200 in words is "two hundred sixteen million, one thousand, two hundred".