1100122330000 has 200 divisors, whose sum is σ = 2688945130872. Its totient is φ = 435861504000.

The previous prime is 1100122329989. The next prime is 1100122330001. The reversal of 1100122330000 is 332210011.

It can be written as a sum of positive squares in 20 ways, for example, as 1081200676864 + 18921653136 = 1039808^2 + 137556^2 .

It is a tau number, because it is divible by the number of its divisors (200).

It is not an unprimeable number, because it can be changed into a prime (1100122330001) by changing a digit.

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 39 ways as a sum of consecutive naturals, for example, 1174089532 + ... + 1174090468.

Almost surely, 2^{1100122330000} is an apocalyptic number.

1100122330000 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 1100122330000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1344472565436).

1100122330000 is an abundant number, since it is smaller than the sum of its proper divisors (1588822800872).

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

1100122330000 is an equidigital number, since it uses as much as digits as its factorization.

1100122330000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1959 (or 1938 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 13.

Adding to 1100122330000 its reverse (332210011), we get a palindrome (1100454540011).

The spelling of 1100122330000 in words is "one trillion, one hundred billion, one hundred twenty-two million, three hundred thirty thousand".