12916140 has 48 divisors (see below), whose sum is σ = 36768480. Its totient is φ = 3386880.

The previous prime is 12916129. The next prime is 12916147. The reversal of 12916140 is 4161921.

12916140 = 34² + 35² + ... + 338².

It is a self number, because there is not a number n which added to its sum of digits gives 12916140.

It is not an unprimeable number, because it can be changed into a prime (12916147) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1896 + ... + 5424.

It is an arithmetic number, because the mean of its divisors is an integer number (766010).

Almost surely, 2^12916140 is an apocalyptic number.

12916140 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 12916140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18384240).

12916140 is an abundant number, since it is smaller than the sum of its proper divisors (23852340).

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

12916140 is a wasteful number, since it uses less digits than its factorization.

12916140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3602 (or 3600 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 24.

The square root of 12916140 is about 3593.9031706489. The cubic root of 12916140 is about 234.6267804469.

The spelling of 12916140 in words is "twelve million, nine hundred sixteen thousand, one hundred forty".