12503400 has 192 divisors, whose sum is σ = 47913600. Its totient is φ = 2626560.

The previous prime is 12503371. The next prime is 12503417. The reversal of 12503400 is 430521.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 12503400.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 54486 + ... + 54714.

It is an arithmetic number, because the mean of its divisors is an integer number (249550).

Almost surely, 2^12503400 is an apocalyptic number.

12503400 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 12503400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23956800).

12503400 is an abundant number, since it is smaller than the sum of its proper divisors (35410200).

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

12503400 is a wasteful number, since it uses less digits than its factorization.

12503400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 268 (or 259 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 15.

The square root of 12503400 is about 3536.0147058518. The cubic root of 12503400 is about 232.1004816425.

Adding to 12503400 its reverse (430521), we get a palindrome (12933921).

The spelling of 12503400 in words is "twelve million, five hundred three thousand, four hundred".