12270400 has 42 divisors (see below), whose sum is σ = 30196790. Its totient is φ = 4907520.

The previous prime is 12270397. The next prime is 12270443. The reversal of 12270400 is 407221.

12270400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 3 ways, for example, as 3125824 + 9144576 = 1768^2 + 3024^2 .

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 2235 + ... + 5434.

Almost surely, 2^12270400 is an apocalyptic number.

12270400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12270400 is an abundant number, since it is smaller than the sum of its proper divisors (17926390).

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

12270400 is an equidigital number, since it uses as much as digits as its factorization.

12270400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7691 (or 7676 counting only the distinct ones).

The product of its (nonzero) digits is 112, while the sum is 16.

The square root of 12270400 is about 3502.9130734290. The cubic root of 12270400 is about 230.6497067657.

Adding to 12270400 its reverse (407221), we get a palindrome (12677621).

The spelling of 12270400 in words is "twelve million, two hundred seventy thousand, four hundred".