1133120000 has 100 divisors (see below), whose sum is σ = 2829926946. Its totient is φ = 453120000.

The previous prime is 1133119969. The next prime is 1133120003. The reversal of 1133120000 is 213311.

It can be written as a sum of positive squares in 5 ways, for example, as 5234944 + 1127885056 = 2288^2 + 33584^2 .

It is a tau number, because it is divible by the number of its divisors (100).

It is not an unprimeable number, because it can be changed into a prime (1133120003) by changing a digit.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 318230 + ... + 321770.

Almost surely, 2^1133120000 is an apocalyptic number.

1133120000 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 1133120000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1414963473).

1133120000 is an abundant number, since it is smaller than the sum of its proper divisors (1696806946).

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

1133120000 is an frugal number, since it uses more digits than its factorization.

1133120000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3579 (or 3548 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 11.

The square root of 1133120000 is about 33661.8478399508. The cubic root of 1133120000 is about 1042.5381790886.

Adding to 1133120000 its reverse (213311), we get a palindrome (1133333311).

The spelling of 1133120000 in words is "one billion, one hundred thirty-three million, one hundred twenty thousand".