1133322000 has 320 divisors, whose sum is σ = 3977745408. Its totient is φ = 276480000.

The previous prime is 1133321999. The next prime is 1133322011. The reversal of 1133322000 is 2233311.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a zygodrome in base 10.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4181865 + ... + 4182135.

Almost surely, 2^1133322000 is an apocalyptic number.

1133322000 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 1133322000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1988872704).

1133322000 is an abundant number, since it is smaller than the sum of its proper divisors (2844423408).

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

1133322000 is a wasteful number, since it uses less digits than its factorization.

1133322000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 355 (or 339 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 15.

The square root of 1133322000 is about 33664.8481357038. The cubic root of 1133322000 is about 1042.6001261019.

Adding to 1133322000 its reverse (2233311), we get a palindrome (1135555311).

It can be divided in two parts, 11333 and 22000, that added together give a palindrome (33333).

The spelling of 1133322000 in words is "one billion, one hundred thirty-three million, three hundred twenty-two thousand".