1121101200 has 180 divisors, whose sum is σ = 3909809280. Its totient is φ = 297480960.

The previous prime is 1121101153. The next prime is 1121101207. The reversal of 1121101200 is 21011211.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (180).

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

It is not an unprimeable number, because it can be changed into a prime (1121101207) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 859749 + ... + 861051.

Almost surely, 2^1121101200 is an apocalyptic number.

1121101200 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 1121101200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1954904640).

1121101200 is an abundant number, since it is smaller than the sum of its proper divisors (2788708080).

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

1121101200 is a wasteful number, since it uses less digits than its factorization.

1121101200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1566 (or 1552 counting only the distinct ones).

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

The square root of 1121101200 is about 33482.8493411179. The cubic root of 1121101200 is about 1038.8390645089.

Adding to 1121101200 its reverse (21011211), we get a palindrome (1142112411).

The spelling of 1121101200 in words is "one billion, one hundred twenty-one million, one hundred one thousand, two hundred".