12107653376 has 288 divisors, whose sum is σ = 31647006720. Its totient is φ = 4492173312.

The previous prime is 12107653367. The next prime is 12107653387. The reversal of 12107653376 is 67335670121.

It is a happy number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 31612481 + ... + 31612863.

It is an arithmetic number, because the mean of its divisors is an integer number (109885440).

Almost surely, 2^12107653376 is an apocalyptic number.

12107653376 is a gapful number since it is divisible by the number (16) 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 12107653376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15823503360).

12107653376 is an abundant number, since it is smaller than the sum of its proper divisors (19539353344).

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

12107653376 is a wasteful number, since it uses less digits than its factorization.

12107653376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 501 (or 487 counting only the distinct ones).

The product of its (nonzero) digits is 158760, while the sum is 41.

The spelling of 12107653376 in words is "twelve billion, one hundred seven million, six hundred fifty-three thousand, three hundred seventy-six".