12945800 has 72 divisors (see below), whose sum is σ = 35039610. Its totient is φ = 4435200.

The previous prime is 12945799. The next prime is 12945811. The reversal of 12945800 is 854921.

It can be written as a sum of positive squares in 3 ways, for example, as 11957764 + 988036 = 3458^2 + 994^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 9140 + ... + 10460.

Almost surely, 2^12945800 is an apocalyptic number.

12945800 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 12945800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17519805).

12945800 is an abundant number, since it is smaller than the sum of its proper divisors (22093810).

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

12945800 is a wasteful number, since it uses less digits than its factorization.

12945800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1351 (or 1335 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 29.

The square root of 12945800 is about 3598.0272372510. The cubic root of 12945800 is about 234.8062383525.

The spelling of 12945800 in words is "twelve million, nine hundred forty-five thousand, eight hundred".