12870400 has 54 divisors (see below), whose sum is σ = 31872092. Its totient is φ = 5145600.

The previous prime is 12870371. The next prime is 12870401. The reversal of 12870400 is 407821.

It is not an unprimeable number, because it can be changed into a prime (12870401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 5395 + ... + 7405.

Almost surely, 2^12870400 is an apocalyptic number.

12870400 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 12870400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15936046).

12870400 is an abundant number, since it is smaller than the sum of its proper divisors (19001692).

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

12870400 is an equidigital number, since it uses as much as digits as its factorization.

12870400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2037 (or 2018 counting only the distinct ones).

The product of its (nonzero) digits is 448, while the sum is 22.

The square root of 12870400 is about 3587.5339719646. The cubic root of 12870400 is about 234.3494911497.

The spelling of 12870400 in words is "twelve million, eight hundred seventy thousand, four hundred".