12424054104 has 640 divisors, whose sum is σ = 46718622720. Its totient is φ = 2985984000.

The previous prime is 12424054091. The next prime is 12424054147. The reversal of 12424054104 is 40145042421.

12424054104 is a `hidden beast` number, since 1 + 2 + 4 + 240 + 5 + 410 + 4 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 82278429 + ... + 82278579.

It is an arithmetic number, because the mean of its divisors is an integer number (72997848).

Almost surely, 2^12424054104 is an apocalyptic number.

12424054104 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 12424054104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23359311360).

12424054104 is an abundant number, since it is smaller than the sum of its proper divisors (34294568616).

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

12424054104 is a wasteful number, since it uses less digits than its factorization.

12424054104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 301 (or 288 counting only the distinct ones).

The product of its (nonzero) digits is 5120, while the sum is 27.

Adding to 12424054104 its reverse (40145042421), we get a palindrome (52569096525).

The spelling of 12424054104 in words is "twelve billion, four hundred twenty-four million, fifty-four thousand, one hundred four".