12166117874040 has 192 divisors, whose sum is σ = 39535082627040. Its totient is φ = 2993736744960.

The previous prime is 12166117874039. The next prime is 12166117874051. The reversal of 12166117874040 is 4047871166121.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 61572844 + ... + 61770116.

Almost surely, 2^{12166117874040} is an apocalyptic number.

12166117874040 is a gapful number since it is divisible by the number (10) 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 12166117874040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19767541313520).

12166117874040 is an abundant number, since it is smaller than the sum of its proper divisors (27368964753000).

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

12166117874040 is a wasteful number, since it uses less digits than its factorization.

12166117874040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 200354 (or 200337 counting only the distinct ones).

The product of its (nonzero) digits is 451584, while the sum is 48.

The spelling of 12166117874040 in words is "twelve trillion, one hundred sixty-six billion, one hundred seventeen million, eight hundred seventy-four thousand, forty".