12390400 has 117 divisors (see below), whose sum is σ = 33771493. Its totient is φ = 4505600.

The previous prime is 12390379. The next prime is 12390401. The reversal of 12390400 is 409321.

12390400 = T₁₅₂ + T₁₅₃ + ... + T₄₂₆.

The square root of 12390400 is 3520.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 4460544 + 7929856 = 2112^2 + 2816^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (12390401) 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 8 ways as a sum of consecutive naturals, for example, 1126395 + ... + 1126405.

Almost surely, 2^12390400 is an apocalyptic number.

12390400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

12390400 is the 3520-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12390400

12390400 is an abundant number, since it is smaller than the sum of its proper divisors (21381093).

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

12390400 is an equidigital number, since it uses as much as digits as its factorization.

12390400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56 (or 18 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 19.

The cubic root of 12390400 is about 231.3991587010.

Adding to 12390400 its reverse (409321), we get a palindrome (12799721).

The spelling of 12390400 in words is "twelve million, three hundred ninety thousand, four hundred".