11003323200000 has 240 divisors, whose sum is σ = 36639596790720. Its totient is φ = 2934218240000.

The previous prime is 11003323199963. The next prime is 11003323200007. The reversal of 11003323200000 is 232330011.

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-4 number, since 4×11003323200000⁴ (a number of 53 digits) contains 4444 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (11003323200007) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3653821 + ... + 5946179.

It is an arithmetic number, because the mean of its divisors is an integer number (152664986628).

Almost surely, 2^{11003323200000} is an apocalyptic number.

11003323200000 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 11003323200000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18319798395360).

11003323200000 is an abundant number, since it is smaller than the sum of its proper divisors (25636273590720).

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

11003323200000 is an frugal number, since it uses more digits than its factorization.

11003323200000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2292405 (or 2292369 counting only the distinct ones).

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

Adding to 11003323200000 its reverse (232330011), we get a palindrome (11003555530011).

The spelling of 11003323200000 in words is "eleven trillion, three billion, three hundred twenty-three million, two hundred thousand".