12186540 has 72 divisors (see below), whose sum is σ = 37477440. Its totient is φ = 3204864.

The previous prime is 12186533. The next prime is 12186557. The reversal of 12186540 is 4568121.

12186540 is a `hidden beast` number, since 1 + 2 + 1 + 8 + 654 + 0 = 666.

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, 13792 + ... + 14648.

It is an arithmetic number, because the mean of its divisors is an integer number (520520).

Almost surely, 2^12186540 is an apocalyptic number.

12186540 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 12186540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18738720).

12186540 is an abundant number, since it is smaller than the sum of its proper divisors (25290900).

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

12186540 is a wasteful number, since it uses less digits than its factorization.

12186540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 951 (or 946 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

The square root of 12186540 is about 3490.9225141787. The cubic root of 12186540 is about 230.1230595401.

The spelling of 12186540 in words is "twelve million, one hundred eighty-six thousand, five hundred forty".