11001111001100 has 288 divisors, whose sum is σ = 26858074848192. Its totient is φ = 3877632000000.

The previous prime is 11001111001081. The next prime is 11001111001117. The reversal of 11001111001100 is 110011110011.

It is a zygodrome in base 10.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1111106150 + ... + 1111116050.

It is an arithmetic number, because the mean of its divisors is an integer number (93257204334).

Almost surely, 2^{11001111001100} is an apocalyptic number.

11001111001100 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 11001111001100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13429037424096).

11001111001100 is an abundant number, since it is smaller than the sum of its proper divisors (15856963847092).

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

11001111001100 is a wasteful number, since it uses less digits than its factorization.

11001111001100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10237 (or 10230 counting only the distinct ones).

The product of its (nonzero) digits is 1, while the sum is 8.

Adding to 11001111001100 its reverse (110011110011), we get a palindrome (11111122111111).

11001111001100 divided by its reverse (110011110011) gives a square (100 = 10²).

It can be divided in two parts, 110011 and 11001100, that multiplied together give a square (1210242012100 = 1100110²).

The spelling of 11001111001100 in words is "eleven trillion, one billion, one hundred eleven million, one thousand, one hundred".