12105068976 has 1200 divisors, whose sum is σ = 50574763008. Its totient is φ = 2743372800.

The previous prime is 12105068951. The next prime is 12105069013. The reversal of 12105068976 is 67986050121.

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 281513211 + ... + 281513253.

Almost surely, 2^12105068976 is an apocalyptic number.

12105068976 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 12105068976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25287381504).

12105068976 is an abundant number, since it is smaller than the sum of its proper divisors (38469694032).

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

12105068976 is a wasteful number, since it uses less digits than its factorization.

12105068976 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 132 (or 110 counting only the distinct ones).

The product of its (nonzero) digits is 181440, while the sum is 45.

The spelling of 12105068976 in words is "twelve billion, one hundred five million, sixty-eight thousand, nine hundred seventy-six".