12246400 has 96 divisors (see below), whose sum is σ = 31303800. Its totient is φ = 4730880.

The previous prime is 12246383. The next prime is 12246433. The reversal of 12246400 is 464221.

12246400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 137556 + ... + 137644.

Almost surely, 2^12246400 is an apocalyptic number.

12246400 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 12246400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15651900).

12246400 is an abundant number, since it is smaller than the sum of its proper divisors (19057400).

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

12246400 is an equidigital number, since it uses as much as digits as its factorization.

12246400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 156 (or 139 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 19.

The square root of 12246400 is about 3499.4856764959. The cubic root of 12246400 is about 230.4992306617.

The spelling of 12246400 in words is "twelve million, two hundred forty-six thousand, four hundred".