4135112300 has 144 divisors (see below), whose sum is σ = 10409521248. Its totient is φ = 1409126400.

The previous prime is 4135112297. The next prime is 4135112309. The reversal of 4135112300 is 32115314.

It is a super-2 number, since 2×4135112300² = 34198307467222580000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (4135112309) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7423622 + ... + 7424178.

It is an arithmetic number, because the mean of its divisors is an integer number (72288342).

Almost surely, 2^4135112300 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 4135112300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5204760624).

4135112300 is an abundant number, since it is smaller than the sum of its proper divisors (6274408948).

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

4135112300 is a wasteful number, since it uses less digits than its factorization.

4135112300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 996 (or 989 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 20.

The square root of 4135112300 is about 64304.8388536975. The cubic root of 4135112300 is about 1605.0766227981.

Adding to 4135112300 its reverse (32115314), we get a palindrome (4167227614).

The spelling of 4135112300 in words is "four billion, one hundred thirty-five million, one hundred twelve thousand, three hundred".