12452400 has 120 divisors (see below), whose sum is σ = 44359760. Its totient is φ = 3317760.

The previous prime is 12452399. The next prime is 12452431. The reversal of 12452400 is 425421.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 10224 + ... + 11376.

Almost surely, 2^12452400 is an apocalyptic number.

12452400 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 12452400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22179880).

12452400 is an abundant number, since it is smaller than the sum of its proper divisors (31907360).

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

12452400 is a wasteful number, since it uses less digits than its factorization.

12452400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1180 (or 1163 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 18.

The square root of 12452400 is about 3528.7958286078. The cubic root of 12452400 is about 231.7844807882.

Adding to 12452400 its reverse (425421), we get a palindrome (12877821).

The spelling of 12452400 in words is "twelve million, four hundred fifty-two thousand, four hundred".