12111334424100 has 216 divisors, whose sum is σ = 40139527850240. Its totient is φ = 3045983927040.

The previous prime is 12111334424089. The next prime is 12111334424141. The reversal of 12111334424100 is 142443311121.

It is a happy number.

12111334424100 is a `hidden beast` number, since 1 + 2 + 1 + 1 + 133 + 4 + 424 + 100 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 2225262 + ... + 5401338.

Almost surely, 2^{12111334424100} is an apocalyptic number.

12111334424100 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 12111334424100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20069763925120).

12111334424100 is an abundant number, since it is smaller than the sum of its proper divisors (28028193426140).

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

12111334424100 is a wasteful number, since it uses less digits than its factorization.

12111334424100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3176339 (or 3176329 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

Adding to 12111334424100 its reverse (142443311121), we get a palindrome (12253777735221).

The spelling of 12111334424100 in words is "twelve trillion, one hundred eleven billion, three hundred thirty-four million, four hundred twenty-four thousand, one hundred".