12330112410 has 640 divisors, whose sum is σ = 45388823040. Its totient is φ = 2322432000.

The previous prime is 12330112369. The next prime is 12330112411. The reversal of 12330112410 is 1421103321.

12330112410 is a `hidden beast` number, since 123 + 301 + 1 + 241 + 0 = 666.

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 (12330112411) by changing a digit.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 30748210 + ... + 30748610.

It is an arithmetic number, because the mean of its divisors is an integer number (70920036).

Almost surely, 2^12330112410 is an apocalyptic number.

12330112410 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 12330112410, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22694411520).

12330112410 is an abundant number, since it is smaller than the sum of its proper divisors (33058710630).

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

12330112410 is a wasteful number, since it uses less digits than its factorization.

12330112410 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 484 (or 475 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 12330112410 its reverse (1421103321), we get a palindrome (13751215731).

The spelling of 12330112410 in words is "twelve billion, three hundred thirty million, one hundred twelve thousand, four hundred ten".