12126106500 has 96 divisors (see below), whose sum is σ = 35349979392. Its totient is φ = 3230080000.

The previous prime is 12126106463. The next prime is 12126106507. The reversal of 12126106500 is 560162121.

It is not an unprimeable number, because it can be changed into a prime (12126106507) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1542580 + ... + 1550420.

It is an arithmetic number, because the mean of its divisors is an integer number (368228952).

Almost surely, 2^12126106500 is an apocalyptic number.

12126106500 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 12126106500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17674989696).

12126106500 is an abundant number, since it is smaller than the sum of its proper divisors (23223872892).

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

12126106500 is a wasteful number, since it uses less digits than its factorization.

12126106500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8894 (or 8882 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 24.

Adding to 12126106500 its reverse (560162121), we get a palindrome (12686268621).

The spelling of 12126106500 in words is "twelve billion, one hundred twenty-six million, one hundred six thousand, five hundred".