12511414400 has 48 divisors (see below), whose sum is σ = 30907111290. Its totient is φ = 5004564480.

The previous prime is 12511414387. The next prime is 12511414411. The reversal of 12511414400 is 441411521.

It can be written as a sum of positive squares in 3 ways, for example, as 8292652096 + 4218762304 = 91064^2 + 64952^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1951709 + ... + 1958108.

Almost surely, 2^12511414400 is an apocalyptic number.

12511414400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12511414400 is an abundant number, since it is smaller than the sum of its proper divisors (18395696890).

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

12511414400 is an equidigital number, since it uses as much as digits as its factorization.

12511414400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3909841 (or 3909824 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 23.

Adding to 12511414400 its reverse (441411521), we get a palindrome (12952825921).

The spelling of 12511414400 in words is "twelve billion, five hundred eleven million, four hundred fourteen thousand, four hundred".