4123113224100 has 288 divisors, whose sum is σ = 12904181579520. Its totient is φ = 1010427125760.

The previous prime is 4123113224047. The next prime is 4123113224137. The reversal of 4123113224100 is 14223113214.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1339106361 + ... + 1339109439.

It is an arithmetic number, because the mean of its divisors is an integer number (44806186040).

Almost surely, 2^{4123113224100} 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 4123113224100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6452090789760).

4123113224100 is an abundant number, since it is smaller than the sum of its proper divisors (8781068355420).

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

4123113224100 is a wasteful number, since it uses less digits than its factorization.

4123113224100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4519 (or 4512 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

Adding to 4123113224100 its reverse (14223113214), we get a palindrome (4137336337314).

The spelling of 4123113224100 in words is "four trillion, one hundred twenty-three billion, one hundred thirteen million, two hundred twenty-four thousand, one hundred".