12034311100 has 144 divisors (see below), whose sum is σ = 30913521408. Its totient is φ = 3980712960.

The previous prime is 12034311059. The next prime is 12034311127. The reversal of 12034311100 is 111343021.

12034311100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2495892 + ... + 2500708.

It is an arithmetic number, because the mean of its divisors is an integer number (214677232).

Almost surely, 2^12034311100 is an apocalyptic number.

12034311100 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 12034311100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15456760704).

12034311100 is an abundant number, since it is smaller than the sum of its proper divisors (18879210308).

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

12034311100 is a wasteful number, since it uses less digits than its factorization.

12034311100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4964 (or 4957 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 16.

Adding to 12034311100 its reverse (111343021), we get a palindrome (12145654121).

The spelling of 12034311100 in words is "twelve billion, thirty-four million, three hundred eleven thousand, one hundred".