11001032023200 has 144 divisors (see below), whose sum is σ = 35833965854400. Its totient is φ = 2931510712320.

The previous prime is 11001032023187. The next prime is 11001032023237. The reversal of 11001032023200 is 232023010011.

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

It is a self number, because there is not a number n which added to its sum of digits gives 11001032023200.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1719372 + ... + 4995828.

It is an arithmetic number, because the mean of its divisors is an integer number (248846985100).

Almost surely, 2^{11001032023200} is an apocalyptic number.

11001032023200 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 11001032023200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17916982927200).

11001032023200 is an abundant number, since it is smaller than the sum of its proper divisors (24832933831200).

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

11001032023200 is a wasteful number, since it uses less digits than its factorization.

11001032023200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3277879 (or 3277866 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

Adding to 11001032023200 its reverse (232023010011), we get a palindrome (11233055033211).

The spelling of 11001032023200 in words is "eleven trillion, one billion, thirty-two million, twenty-three thousand, two hundred".