12166624176 has 80 divisors (see below), whose sum is σ = 36256322304. Its totient is φ = 3443680512.

The previous prime is 12166624163. The next prime is 12166624181. The reversal of 12166624176 is 67142666121.

It is a hoax number, since the sum of its digits (42) coincides with the sum of the digits of its distinct prime factors.

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

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 15 ways as a sum of consecutive naturals, for example, 133255 + ... + 205158.

Almost surely, 2^12166624176 is an apocalyptic number.

12166624176 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

12166624176 is an abundant number, since it is smaller than the sum of its proper divisors (24089698128).

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

12166624176 is a wasteful number, since it uses less digits than its factorization.

12166624176 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 338538 (or 338532 counting only the distinct ones).

The product of its digits is 145152, while the sum is 42.

The spelling of 12166624176 in words is "twelve billion, one hundred sixty-six million, six hundred twenty-four thousand, one hundred seventy-six".