12109877568 has 224 divisors, whose sum is σ = 37856160000. Its totient is φ = 3787610112.

The previous prime is 12109877557. The next prime is 12109877569. The reversal of 12109877568 is 86577890121.

12109877568 is a `hidden beast` number, since 1 + 2 + 1 + 0 + 9 + 8 + 77 + 568 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12109877569) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2103558 + ... + 2109306.

Almost surely, 2^12109877568 is an apocalyptic number.

12109877568 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 12109877568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18928080000).

12109877568 is an abundant number, since it is smaller than the sum of its proper divisors (25746282432).

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

12109877568 is a wasteful number, since it uses less digits than its factorization.

12109877568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5846 (or 5830 counting only the distinct ones).

The product of its (nonzero) digits is 1693440, while the sum is 54.

The spelling of 12109877568 in words is "twelve billion, one hundred nine million, eight hundred seventy-seven thousand, five hundred sixty-eight".