12105562788 has 144 divisors (see below), whose sum is σ = 34594560000. Its totient is φ = 3537293760.

The previous prime is 12105562769. The next prime is 12105562811. The reversal of 12105562788 is 88726550121.

12105562788 is a `hidden beast` number, since 1 + 2 + 1 + 0 + 5 + 562 + 7 + 88 = 666.

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, 1340713 + ... + 1349711.

It is an arithmetic number, because the mean of its divisors is an integer number (240240000).

Almost surely, 2^12105562788 is an apocalyptic number.

12105562788 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 12105562788, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17297280000).

12105562788 is an abundant number, since it is smaller than the sum of its proper divisors (22488997212).

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

12105562788 is a wasteful number, since it uses less digits than its factorization.

12105562788 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9142 (or 9137 counting only the distinct ones).

The product of its (nonzero) digits is 268800, while the sum is 45.

The spelling of 12105562788 in words is "twelve billion, one hundred five million, five hundred sixty-two thousand, seven hundred eighty-eight".