12166644174100 has 72 divisors (see below), whose sum is σ = 28533695710968. Its totient is φ = 4476312422400.

The previous prime is 12166644174053. The next prime is 12166644174131. The reversal of 12166644174100 is 147144666121.

It can be written as a sum of positive squares in 12 ways, for example, as 6861895508484 + 5304748665616 = 2619522^2 + 2303204^2 .

It is a super-2 number, since 2×12166644174100² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 16287649 + ... + 17018248.

It is an arithmetic number, because the mean of its divisors is an integer number (396301329319).

Almost surely, 2^{12166644174100} is an apocalyptic number.

12166644174100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12166644174100 is an abundant number, since it is smaller than the sum of its proper divisors (16367051536868).

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

12166644174100 is a wasteful number, since it uses less digits than its factorization.

12166644174100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33306205 (or 33306198 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 43.

The spelling of 12166644174100 in words is "twelve trillion, one hundred sixty-six billion, six hundred forty-four million, one hundred seventy-four thousand, one hundred".