12110414130 has 96 divisors (see below), whose sum is σ = 32424678000. Its totient is φ = 3133748736.

The previous prime is 12110414101. The next prime is 12110414137. The reversal of 12110414130 is 3141401121.

12110414130 is a `hidden beast` number, since 1 + 211 + 0 + 41 + 413 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 8667423801 + 3442990329 = 93099^2 + 58677^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (12110414137) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1290696 + ... + 1300044.

Almost surely, 2^12110414130 is an apocalyptic number.

12110414130 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 12110414130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16212339000).

12110414130 is an abundant number, since it is smaller than the sum of its proper divisors (20314263870).

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

12110414130 is a wasteful number, since it uses less digits than its factorization.

12110414130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9788 (or 9785 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

Adding to 12110414130 its reverse (3141401121), we get a palindrome (15251815251).

The spelling of 12110414130 in words is "twelve billion, one hundred ten million, four hundred fourteen thousand, one hundred thirty".