12506400000 has 540 divisors, whose sum is σ = 46853305884. Its totient is φ = 3317760000.

The previous prime is 12506399989. The next prime is 12506400083. The reversal of 12506400000 is 460521.

It is a happy number.

12506400000 is a `hidden beast` number, since 1 + 25 + 0 + 640 + 0 + 0 + 0 + 0 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 11447288064 + 1059111936 = 106992^2 + 32544^2 .

It is a tau number, because it is divible by the number of its divisors (540).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 64799904 + ... + 64800096.

Almost surely, 2^12506400000 is an apocalyptic number.

12506400000 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 12506400000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23426652942).

12506400000 is an abundant number, since it is smaller than the sum of its proper divisors (34346905884).

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

12506400000 is an frugal number, since it uses more digits than its factorization.

12506400000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 246 (or 203 counting only the distinct ones).

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

Adding to 12506400000 its reverse (460521), we get a palindrome (12506860521).

It can be divided in two parts, 1250 and 6400000, that multiplied together give a cube (8000000000 = 2000³).

The spelling of 12506400000 in words is "twelve billion, five hundred six million, four hundred thousand".