1121333200 has 120 divisors (see below), whose sum is σ = 2917257728. Its totient is φ = 411747840.

The previous prime is 1121333197. The next prime is 1121333207. The reversal of 1121333200 is 23331211.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1121333207) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1159117 + ... + 1160083.

Almost surely, 2^1121333200 is an apocalyptic number.

1121333200 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 1121333200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1458628864).

1121333200 is an abundant number, since it is smaller than the sum of its proper divisors (1795924528).

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

1121333200 is a wasteful number, since it uses less digits than its factorization.

1121333200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1221 (or 1210 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 16.

The square root of 1121333200 is about 33486.3136221352. The cubic root of 1121333200 is about 1038.9107184744.

Adding to 1121333200 its reverse (23331211), we get a palindrome (1144664411).

The spelling of 1121333200 in words is "one billion, one hundred twenty-one million, three hundred thirty-three thousand, two hundred".