12965130 has 64 divisors (see below), whose sum is σ = 35712000. Its totient is φ = 3343680.

The previous prime is 12965129. The next prime is 12965131. The reversal of 12965130 is 3156921.

12965130 is a `hidden beast` number, since 1 + 2 + 9 + 651 + 3 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (12965129) and next prime (12965131).

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

It is a junction number, because it is equal to n+sod(n) for n = 12965094 and 12965103.

It is not an unprimeable number, because it can be changed into a prime (12965131) 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 31 ways as a sum of consecutive naturals, for example, 7596 + ... + 9144.

It is an arithmetic number, because the mean of its divisors is an integer number (558000).

Almost surely, 2^12965130 is an apocalyptic number.

12965130 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 12965130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17856000).

12965130 is an abundant number, since it is smaller than the sum of its proper divisors (22746870).

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

12965130 is a wasteful number, since it uses less digits than its factorization.

12965130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1596 (or 1590 counting only the distinct ones).

The product of its (nonzero) digits is 1620, while the sum is 27.

The square root of 12965130 is about 3600.7124295061. The cubic root of 12965130 is about 234.9230470839.

The spelling of 12965130 in words is "twelve million, nine hundred sixty-five thousand, one hundred thirty".