1120111200 has 288 divisors, whose sum is σ = 4363783200. Its totient is φ = 275650560.

The previous prime is 1120111193. The next prime is 1120111207. The reversal of 1120111200 is 21110211.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (1120111193) and next prime (1120111207).

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1120111207) 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 47 ways as a sum of consecutive naturals, for example, 278806 + ... + 282794.

It is an arithmetic number, because the mean of its divisors is an integer number (15152025).

Almost surely, 2^1120111200 is an apocalyptic number.

1120111200 is a gapful number since it is divisible by the number (10) 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 1120111200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2181891600).

1120111200 is an abundant number, since it is smaller than the sum of its proper divisors (3243672000).

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

1120111200 is a wasteful number, since it uses less digits than its factorization.

1120111200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4031 (or 4012 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

The square root of 1120111200 is about 33468.0623878945. The cubic root of 1120111200 is about 1038.5331885985.

Adding to 1120111200 its reverse (21110211), we get a palindrome (1141221411).

The spelling of 1120111200 in words is "one billion, one hundred twenty million, one hundred eleven thousand, two hundred".