1132111200 has 576 divisors, whose sum is σ = 4417217280. Its totient is φ = 248832000.

The previous prime is 1132111171. The next prime is 1132111223. The reversal of 1132111200 is 21112311.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 18559170 + ... + 18559230.

It is an arithmetic number, because the mean of its divisors is an integer number (7668780).

Almost surely, 2^1132111200 is an apocalyptic number.

1132111200 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 1132111200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2208608640).

1132111200 is an abundant number, since it is smaller than the sum of its proper divisors (3285106080).

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

1132111200 is a wasteful number, since it uses less digits than its factorization.

1132111200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 151 (or 138 counting only the distinct ones).

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

The square root of 1132111200 is about 33646.8601804091. The cubic root of 1132111200 is about 1042.2287017818.

Adding to 1132111200 its reverse (21112311), we get a palindrome (1153223511).

It can be divided in two parts, 1132111 and 200, that added together give a palindrome (1132311).

The spelling of 1132111200 in words is "one billion, one hundred thirty-two million, one hundred eleven thousand, two hundred".