12078400 has 42 divisors (see below), whose sum is σ = 29724350. Its totient is φ = 4830720.

The previous prime is 12078397. The next prime is 12078401. The reversal of 12078400 is 487021.

It can be written as a sum of positive squares in 3 ways, for example, as 2143296 + 9935104 = 1464^2 + 3152^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12078401) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 2175 + ... + 5374.

Almost surely, 2^12078400 is an apocalyptic number.

12078400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12078400 is an abundant number, since it is smaller than the sum of its proper divisors (17645950).

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

12078400 is an equidigital number, since it uses as much as digits as its factorization.

12078400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7571 (or 7556 counting only the distinct ones).

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

The square root of 12078400 is about 3475.3992576393. The cubic root of 12078400 is about 229.4403532716.

The spelling of 12078400 in words is "twelve million, seventy-eight thousand, four hundred".