12100110011200 has 168 divisors, whose sum is σ = 31305450932280. Its totient is φ = 4596535910400.

The previous prime is 12100110011189. The next prime is 12100110011203. The reversal of 12100110011200 is 211001100121.

It can be written as a sum of positive squares in 12 ways, for example, as 7512905577024 + 4587204434176 = 2740968^2 + 2141776^2 .

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12100110011203) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 692874 + ... + 4967926.

It is an arithmetic number, because the mean of its divisors is an integer number (186341969835).

Almost surely, 2^{12100110011200} is an apocalyptic number.

12100110011200 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 12100110011200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15652725466140).

12100110011200 is an abundant number, since it is smaller than the sum of its proper divisors (19205340921080).

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

12100110011200 is a wasteful number, since it uses less digits than its factorization.

12100110011200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4275165 (or 4275150 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 10.

Adding to 12100110011200 its reverse (211001100121), we get a palindrome (12311111111321).

The spelling of 12100110011200 in words is "twelve trillion, one hundred billion, one hundred ten million, eleven thousand, two hundred".