12114413304 has 128 divisors (see below), whose sum is σ = 34877399040. Its totient is φ = 3434908032.

The previous prime is 12114413273. The next prime is 12114413317. The reversal of 12114413304 is 40331441121.

It is a super-3 number, since 3×12114413304³ (a number of 31 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 21517327 + ... + 21517889.

It is an arithmetic number, because the mean of its divisors is an integer number (272479680).

Almost surely, 2^12114413304 is an apocalyptic number.

12114413304 is a gapful number since it is divisible by the number (14) 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 12114413304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17438699520).

12114413304 is an abundant number, since it is smaller than the sum of its proper divisors (22762985736).

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

12114413304 is a wasteful number, since it uses less digits than its factorization.

12114413304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1329 (or 1325 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

Adding to 12114413304 its reverse (40331441121), we get a palindrome (52445854425).

The spelling of 12114413304 in words is "twelve billion, one hundred fourteen million, four hundred thirteen thousand, three hundred four".