20111200 has 72 divisors (see below), whose sum is σ = 51277968. Its totient is φ = 7687680.

The previous prime is 20111183. The next prime is 20111213. The reversal of 20111200 is 211102.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 17854 + ... + 18946.

It is an arithmetic number, because the mean of its divisors is an integer number (712194).

Almost surely, 2^20111200 is an apocalyptic number.

20111200 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 20111200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25638984).

20111200 is an abundant number, since it is smaller than the sum of its proper divisors (31166768).

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

20111200 is a wasteful number, since it uses less digits than its factorization.

20111200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1136 (or 1123 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 7.

The square root of 20111200 is about 4484.5512596022. The cubic root of 20111200 is about 271.9439042335.

Adding to 20111200 its reverse (211102), we get a palindrome (20322302).

The spelling of 20111200 in words is "twenty million, one hundred eleven thousand, two hundred".