11002233000000 has 784 divisors, whose sum is σ = 40100212960704. Its totient is φ = 2640000000000.

The previous prime is 11002232999951. The next prime is 11002233000019. The reversal of 11002233000000 is 33220011.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a zygodrome in base 10.

It is a self number, because there is not a number n which added to its sum of digits gives 11002233000000.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 3332998350 + ... + 3333001650.

Almost surely, 2^{11002233000000} is an apocalyptic number.

11002233000000 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 11002233000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20050106480352).

11002233000000 is an abundant number, since it is smaller than the sum of its proper divisors (29097979960704).

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

11002233000000 is an equidigital number, since it uses as much as digits as its factorization.

11002233000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3458 (or 3423 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 12.

Adding to 11002233000000 its reverse (33220011), we get a palindrome (11002266220011).

The spelling of 11002233000000 in words is "eleven trillion, two billion, two hundred thirty-three million", and thus it is an aban number.