20171200 has 84 divisors (see below), whose sum is σ = 56755792. Its totient is φ = 6912000.

The previous prime is 20171191. The next prime is 20171201. The reversal of 20171200 is 217102.

It is a nialpdrome in base 7.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20171201) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 10300 + ... + 12100.

Almost surely, 2^20171200 is an apocalyptic number.

20171200 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 20171200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28377896).

20171200 is an abundant number, since it is smaller than the sum of its proper divisors (36584592).

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

20171200 is a wasteful number, since it uses less digits than its factorization.

20171200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1830 (or 1815 counting only the distinct ones).

The product of its (nonzero) digits is 28, while the sum is 13.

The square root of 20171200 is about 4491.2359100809. The cubic root of 20171200 is about 272.2140759899.

Adding to 20171200 its reverse (217102), we get a palindrome (20388302).

The spelling of 20171200 in words is "twenty million, one hundred seventy-one thousand, two hundred".