12107635848 has 384 divisors, whose sum is σ = 43400448000. Its totient is φ = 2954050560.

The previous prime is 12107635823. The next prime is 12107635879. The reversal of 12107635848 is 84853670121.

12107635848 is a `hidden beast` number, since 1 + 2 + 1 + 0 + 7 + 63 + 584 + 8 = 666.

12107635848 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 14430613 + ... + 14431451.

It is an arithmetic number, because the mean of its divisors is an integer number (113022000).

Almost surely, 2^12107635848 is an apocalyptic number.

12107635848 is a gapful number since it is divisible by the number (18) 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 12107635848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21700224000).

12107635848 is an abundant number, since it is smaller than the sum of its proper divisors (31292812152).

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

12107635848 is a wasteful number, since it uses less digits than its factorization.

12107635848 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1025 (or 1018 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 45.

The spelling of 12107635848 in words is "twelve billion, one hundred seven million, six hundred thirty-five thousand, eight hundred forty-eight".