1121011200 has 360 divisors, whose sum is σ = 4135882608. Its totient is φ = 289751040.

The previous prime is 1121011187. The next prime is 1121011207. The reversal of 1121011200 is 21101211.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (360).

It is a super-2 number, since 2×1121011200² = 2513332221050880000, which contains 22 as substring.

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 (1121011207) 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, 4262269 + ... + 4262531.

Almost surely, 2^1121011200 is an apocalyptic number.

1121011200 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 1121011200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2067941304).

1121011200 is an abundant number, since it is smaller than the sum of its proper divisors (3014871408).

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

1121011200 is a wasteful number, since it uses less digits than its factorization.

1121011200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 334 (or 310 counting only the distinct ones).

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

The square root of 1121011200 is about 33481.5053425021. The cubic root of 1121011200 is about 1038.8112650507.

Adding to 1121011200 its reverse (21101211), we get a palindrome (1142112411).

It can be divided in two parts, 1121011 and 200, that added together give a palindrome (1121211).

The spelling of 1121011200 in words is "one billion, one hundred twenty-one million, eleven thousand, two hundred".