12172680 has 240 divisors, whose sum is σ = 46805220. Its totient is φ = 2820096.

The previous prime is 12172661. The next prime is 12172691. The reversal of 12172680 is 8627121.

It can be written as a sum of positive squares in 6 ways, for example, as 6441444 + 5731236 = 2538^2 + 2394^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 716032 + ... + 716048.

Almost surely, 2^12172680 is an apocalyptic number.

12172680 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 12172680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23402610).

12172680 is an abundant number, since it is smaller than the sum of its proper divisors (34632540).

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

12172680 is a wasteful number, since it uses less digits than its factorization.

12172680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 70 (or 40 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 27.

The square root of 12172680 is about 3488.9368008034. The cubic root of 12172680 is about 230.0357852322.

The spelling of 12172680 in words is "twelve million, one hundred seventy-two thousand, six hundred eighty".