12345241104 has 300 divisors, whose sum is σ = 42911920128. Its totient is φ = 3412886400.

The previous prime is 12345241093. The next prime is 12345241199. The reversal of 12345241104 is 40114254321.

12345241104 is a `hidden beast` number, since 1 + 2 + 34 + 524 + 1 + 104 = 666.

It is a super-2 number, since 2×12345241104² (a number of 21 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 1965489 + ... + 1971759.

Almost surely, 2^12345241104 is an apocalyptic number.

12345241104 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 12345241104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21455960064).

12345241104 is an abundant number, since it is smaller than the sum of its proper divisors (30566679024).

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

12345241104 is a wasteful number, since it uses less digits than its factorization.

12345241104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6336 (or 6314 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

Adding to 12345241104 its reverse (40114254321), we get a palindrome (52459495425).

The spelling of 12345241104 in words is "twelve billion, three hundred forty-five million, two hundred forty-one thousand, one hundred four".