4111112200 has 96 divisors (see below), whose sum is σ = 10400349960. Its totient is φ = 1502208000.

The previous prime is 4111112191. The next prime is 4111112221. The reversal of 4111112200 is 22111114.

It can be written as a sum of positive squares in 12 ways, for example, as 191600964 + 3919511236 = 13842^2 + 62606^2 .

It is a Harshad number since it is a multiple of its sum of digits (13).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 244050 + ... + 260350.

Almost surely, 2^4111112200 is an apocalyptic number.

4111112200 is a gapful number since it is divisible by the number (40) 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 4111112200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5200174980).

4111112200 is an abundant number, since it is smaller than the sum of its proper divisors (6289237760).

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

4111112200 is a wasteful number, since it uses less digits than its factorization.

4111112200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16427 (or 16418 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 13.

The square root of 4111112200 is about 64117.9553635329. The cubic root of 4111112200 is about 1601.9653193365.

Adding to 4111112200 its reverse (22111114), we get a palindrome (4133223314).

The spelling of 4111112200 in words is "four billion, one hundred eleven million, one hundred twelve thousand, two hundred".