12506400 has 180 divisors, whose sum is σ = 45844722. Its totient is φ = 3317760.

The previous prime is 12506399. The next prime is 12506401. The reversal of 12506400 is 460521.

It is a happy number.

12506400 is a `hidden beast` number, since 1 + 25 + 0 + 640 + 0 = 666.

12506400 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (12506399) and next prime (12506401).

It can be written as a sum of positive squares in 3 ways, for example, as 7683984 + 4822416 = 2772^2 + 2196^2 .

It is a tau number, because it is divible by the number of its divisors (180).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12506401) by changing a digit.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 64704 + ... + 64896.

Almost surely, 2^12506400 is an apocalyptic number.

12506400 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 12506400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22922361).

12506400 is an abundant number, since it is smaller than the sum of its proper divisors (33338322).

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

12506400 is a wasteful number, since it uses less digits than its factorization.

12506400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 225 (or 203 counting only the distinct ones).

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

The square root of 12506400 is about 3536.4388867899. The cubic root of 12506400 is about 232.1190431475.

Adding to 12506400 its reverse (460521), we get a palindrome (12966921).

It can be divided in two parts, 1250 and 6400, that multiplied together give a cube (8000000 = 200³).

The spelling of 12506400 in words is "twelve million, five hundred six thousand, four hundred".