12965800 has 48 divisors (see below), whose sum is σ = 30383100. Its totient is φ = 5145600.

The previous prime is 12965791. The next prime is 12965801. The reversal of 12965800 is 856921.

It can be written as a sum of positive squares in 6 ways, for example, as 3118756 + 9847044 = 1766^2 + 3138^2 .

It is a super-2 number, since 2×12965800² = 336223939280000, which contains 22 as substring.

It is a hoax number, since the sum of its digits (31) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (12965801) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 48066 + ... + 48334.

Almost surely, 2^12965800 is an apocalyptic number.

12965800 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 12965800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15191550).

12965800 is an abundant number, since it is smaller than the sum of its proper divisors (17417300).

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

12965800 is a wasteful number, since it uses less digits than its factorization.

12965800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 526 (or 517 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 31.

The square root of 12965800 is about 3600.8054654480. The cubic root of 12965800 is about 234.9270937262.

The spelling of 12965800 in words is "twelve million, nine hundred sixty-five thousand, eight hundred".