12186968976 has 480 divisors, whose sum is σ = 44827630848. Its totient is φ = 2999255040.

The previous prime is 12186968971. The next prime is 12186969001. The reversal of 12186968976 is 67986968121.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (12186968971) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 50568216 + ... + 50568456.

Almost surely, 2^12186968976 is an apocalyptic number.

12186968976 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 12186968976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22413815424).

12186968976 is an abundant number, since it is smaller than the sum of its proper divisors (32640661872).

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

12186968976 is a wasteful number, since it uses less digits than its factorization.

12186968976 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 519 (or 510 counting only the distinct ones).

The product of its digits is 15676416, while the sum is 63.

The spelling of 12186968976 in words is "twelve billion, one hundred eighty-six million, nine hundred sixty-eight thousand, nine hundred seventy-six".