12166103040 has 640 divisors, whose sum is σ = 50734252800. Its totient is φ = 2415919104.

The previous prime is 12166103039. The next prime is 12166103087. The reversal of 12166103040 is 4030166121.

It is a tau number, because it is divible by the number of its divisors (640).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 12166103040.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 715653112 + ... + 715653128.

It is an arithmetic number, because the mean of its divisors is an integer number (79272270).

Almost surely, 2^12166103040 is an apocalyptic number.

12166103040 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 12166103040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25367126400).

12166103040 is an abundant number, since it is smaller than the sum of its proper divisors (38568149760).

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

12166103040 is an frugal number, since it uses more digits than its factorization.

12166103040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 83 (or 47 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 24.

Adding to 12166103040 its reverse (4030166121), we get a palindrome (16196269161).

The spelling of 12166103040 in words is "twelve billion, one hundred sixty-six million, one hundred three thousand, forty".