11111100001100 has 144 divisors (see below), whose sum is σ = 27961510348800. Its totient is φ = 3789848160000.

The previous prime is 11111100001061. The next prime is 11111100001187. The reversal of 11111100001100 is 110000111111.

It is a zygodrome in base 10.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 520940 + ... + 4742739.

It is an arithmetic number, because the mean of its divisors is an integer number (194177155200).

Almost surely, 2^{11111100001100} is an apocalyptic number.

11111100001100 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 11111100001100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13980755174400).

11111100001100 is an abundant number, since it is smaller than the sum of its proper divisors (16850410347700).

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

11111100001100 is a wasteful number, since it uses less digits than its factorization.

11111100001100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5263824 (or 5263817 counting only the distinct ones).

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

Adding to 11111100001100 its reverse (110000111111), we get a palindrome (11221100112211).

It can be divided in two parts, 11 and 111100001100, that added together give a palindrome (111100001111).

The spelling of 11111100001100 in words is "eleven trillion, one hundred eleven billion, one hundred million, one thousand, one hundred".