12334313124 has 144 divisors (see below), whose sum is σ = 37541750400. Its totient is φ = 3491595072.

The previous prime is 12334313053. The next prime is 12334313177. The reversal of 12334313124 is 42131343321.

It is a happy number.

12334313124 is a `hidden beast` number, since 1 + 2 + 3 + 343 + 1 + 312 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 566137 + ... + 587519.

It is an arithmetic number, because the mean of its divisors is an integer number (260706600).

Almost surely, 2^12334313124 is an apocalyptic number.

12334313124 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 12334313124, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18770875200).

12334313124 is an abundant number, since it is smaller than the sum of its proper divisors (25207437276).

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

12334313124 is a wasteful number, since it uses less digits than its factorization.

12334313124 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21519 (or 21504 counting only the distinct ones).

The product of its digits is 5184, while the sum is 27.

Adding to 12334313124 its reverse (42131343321), we get a palindrome (54465656445).

The spelling of 12334313124 in words is "twelve billion, three hundred thirty-four million, three hundred thirteen thousand, one hundred twenty-four".