11001100200012 has 168 divisors, whose sum is σ = 31290921469920. Its totient is φ = 3362535244800.

The previous prime is 11001100200007. The next prime is 11001100200037. The reversal of 11001100200012 is 21000200110011.

It is a happy number.

It is a super-2 number, since 2×11001100200012² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 11001100199967 and 11001100200003.

It is an unprimeable number.

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 55 ways as a sum of consecutive naturals, for example, 4763164 + ... + 6685052.

It is an arithmetic number, because the mean of its divisors is an integer number (186255484940).

Almost surely, 2^{11001100200012} is an apocalyptic number.

11001100200012 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 11001100200012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15645460734960).

11001100200012 is an abundant number, since it is smaller than the sum of its proper divisors (20289821269908).

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

11001100200012 is a wasteful number, since it uses less digits than its factorization.

11001100200012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1922075 (or 1922058 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 11001100200012 its reverse (21000200110011), we get a palindrome (32001300310023).

Subtracting 11001100200012 from its reverse (21000200110011), we obtain a palindrome (9999099909999).

The spelling of 11001100200012 in words is "eleven trillion, one billion, one hundred million, two hundred thousand, twelve".