412242343001100 has 432 divisors, whose sum is σ = 1376681548054176. Its totient is φ = 102821741568000.

The previous prime is 412242343001077. The next prime is 412242343001107. The reversal of 412242343001100 is 1100343242214.

412242343001100 is a `hidden beast` number, since 4 + 1 + 2 + 24 + 234 + 300 + 1 + 100 = 666.

It is not an unprimeable number, because it can be changed into a prime (412242343001107) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 2185464790 + ... + 2185653410.

It is an arithmetic number, because the mean of its divisors is an integer number (3186762842718).

Almost surely, 2^{412242343001100} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 412242343001100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (688340774027088).

412242343001100 is an abundant number, since it is smaller than the sum of its proper divisors (964439205053076).

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

412242343001100 is a wasteful number, since it uses less digits than its factorization.

412242343001100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 189546 (or 189536 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

Adding to 412242343001100 its reverse (1100343242214), we get a palindrome (413342686243314).

The spelling of 412242343001100 in words is "four hundred twelve trillion, two hundred forty-two billion, three hundred forty-three million, one thousand, one hundred".