11001100012123 has 32 divisors (see below), whose sum is σ = 12139670188800. Its totient is φ = 9907282129536.

The previous prime is 11001100012081. The next prime is 11001100012127. The reversal of 11001100012123 is 32121000110011.

It is a happy number.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-11001100012123 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (13).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (11001100012127) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 233431440 + ... + 233478562.

It is an arithmetic number, because the mean of its divisors is an integer number (379364693400).

Almost surely, 2^{11001100012123} is an apocalyptic number.

11001100012123 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

11001100012123 is a deficient number, since it is larger than the sum of its proper divisors (1138570176677).

11001100012123 is a wasteful number, since it uses less digits than its factorization.

11001100012123 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 49771.

The product of its (nonzero) digits is 12, while the sum is 13.

Adding to 11001100012123 its reverse (32121000110011), we get a palindrome (43122100122134).

The spelling of 11001100012123 in words is "eleven trillion, one billion, one hundred million, twelve thousand, one hundred twenty-three".