12166558404 has 192 divisors, whose sum is σ = 38291312640. Its totient is φ = 2903662080.

The previous prime is 12166558399. The next prime is 12166558409. The reversal of 12166558404 is 40485566121.

It is an interprime number because it is at equal distance from previous prime (12166558399) and next prime (12166558409).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (12166558409) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2748537 + ... + 2752959.

It is an arithmetic number, because the mean of its divisors is an integer number (199433920).

Almost surely, 2^12166558404 is an apocalyptic number.

12166558404 is a gapful number since it is divisible by the number (14) 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 12166558404, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19145656320).

12166558404 is an abundant number, since it is smaller than the sum of its proper divisors (26124754236).

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

12166558404 is a wasteful number, since it uses less digits than its factorization.

12166558404 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4690 (or 4688 counting only the distinct ones).

The product of its (nonzero) digits is 230400, while the sum is 42.

The spelling of 12166558404 in words is "twelve billion, one hundred sixty-six million, five hundred fifty-eight thousand, four hundred four".