12560400 has 120 divisors (see below), whose sum is σ = 44744160. Its totient is φ = 3346560.

The previous prime is 12560347. The next prime is 12560407. The reversal of 12560400 is 406521.

It is a happy number.

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 not an unprimeable number, because it can be changed into a prime (12560407) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 10219 + ... + 11381.

It is an arithmetic number, because the mean of its divisors is an integer number (372868).

Almost surely, 2^12560400 is an apocalyptic number.

12560400 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 12560400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22372080).

12560400 is an abundant number, since it is smaller than the sum of its proper divisors (32183760).

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

12560400 is a wasteful number, since it uses less digits than its factorization.

12560400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1190 (or 1173 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 12560400 is about 3544.0654621494. The cubic root of 12560400 is about 232.4526438410.

Adding to 12560400 its reverse (406521), we get a palindrome (12966921).

The spelling of 12560400 in words is "twelve million, five hundred sixty thousand, four hundred".