11001100112112 has 160 divisors (see below), whose sum is σ = 32199961570560. Its totient is φ = 3205888000000.

The previous prime is 11001100112063. The next prime is 11001100112129. The reversal of 11001100112112 is 21121100110011.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2412112 + ... + 5274512.

It is an arithmetic number, because the mean of its divisors is an integer number (201249759816).

Almost surely, 2^{11001100112112} is an apocalyptic number.

11001100112112 is a gapful number since it is divisible by the number (12) 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 11001100112112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16099980785280).

11001100112112 is an abundant number, since it is smaller than the sum of its proper divisors (21198861458448).

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

11001100112112 is a wasteful number, since it uses less digits than its factorization.

11001100112112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2862703 (or 2862697 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 12.

Adding to 11001100112112 its reverse (21121100110011), we get a palindrome (32122200222123).

It can be divided in two parts, 1100110011 and 2112, that multiplied together give a palindrome (2323432343232).

The spelling of 11001100112112 in words is "eleven trillion, one billion, one hundred million, one hundred twelve thousand, one hundred twelve".