1121411200 has 192 divisors, whose sum is σ = 3410406720. Its totient is φ = 354816000.

The previous prime is 1121411177. The next prime is 1121411201. The reversal of 1121411200 is 21141211.

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

It is not an unprimeable number, because it can be changed into a prime (1121411201) 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 23 ways as a sum of consecutive naturals, for example, 289275 + ... + 293125.

It is an arithmetic number, because the mean of its divisors is an integer number (17762535).

Almost surely, 2^1121411200 is an apocalyptic number.

1121411200 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 1121411200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1705203360).

1121411200 is an abundant number, since it is smaller than the sum of its proper divisors (2288995520).

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

1121411200 is a wasteful number, since it uses less digits than its factorization.

1121411200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3895 (or 3878 counting only the distinct ones).

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

The square root of 1121411200 is about 33487.4782568052. The cubic root of 1121411200 is about 1038.9348068117.

Adding to 1121411200 its reverse (21141211), we get a palindrome (1142552411).

The spelling of 1121411200 in words is "one billion, one hundred twenty-one million, four hundred eleven thousand, two hundred".