12355541441100 has 432 divisors, whose sum is σ = 45901039582944. Its totient is φ = 2740405248000.

The previous prime is 12355541441083. The next prime is 12355541441129. The reversal of 12355541441100 is 114414555321.

12355541441100 is a `hidden beast` number, since 1 + 2 + 3 + 5 + 5 + 541 + 4 + 4 + 1 + 100 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 14118310 + ... + 14967890.

It is an arithmetic number, because the mean of its divisors is an integer number (106252406442).

Almost surely, 2^{12355541441100} is an apocalyptic number.

12355541441100 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 12355541441100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22950519791472).

12355541441100 is an abundant number, since it is smaller than the sum of its proper divisors (33545498141844).

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

12355541441100 is a wasteful number, since it uses less digits than its factorization.

12355541441100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 849738 (or 849728 counting only the distinct ones).

The product of its (nonzero) digits is 48000, while the sum is 36.

Adding to 12355541441100 its reverse (114414555321), we get a palindrome (12469955996421).

The spelling of 12355541441100 in words is "twelve trillion, three hundred fifty-five billion, five hundred forty-one million, four hundred forty-one thousand, one hundred".