12166921836432 has 480 divisors, whose sum is σ = 41093385854976. Its totient is φ = 3314964787200.

The previous prime is 12166921836373. The next prime is 12166921836473. The reversal of 12166921836432 is 23463812966121.

It is a happy number.

12166921836432 is a `hidden beast` number, since 1 + 2 + 1 + 6 + 69 + 218 + 364 + 3 + 2 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 502275873 + ... + 502300095.

Almost surely, 2^{12166921836432} is an apocalyptic number.

12166921836432 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is a pronic number, being equal to 3488111×3488112.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12166921836432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20546692927488).

12166921836432 is an abundant number, since it is smaller than the sum of its proper divisors (28926464018544).

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

12166921836432 is a wasteful number, since it uses less digits than its factorization.

12166921836432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25099 (or 25090 counting only the distinct ones).

The product of its digits is 4478976, while the sum is 54.

The spelling of 12166921836432 in words is "twelve trillion, one hundred sixty-six billion, nine hundred twenty-one million, eight hundred thirty-six thousand, four hundred thirty-two".