12510432442000 has 40 divisors (see below), whose sum is σ = 30250225649592. Its totient is φ = 5004172976000.

The previous prime is 12510432441977. The next prime is 12510432442033. The reversal of 12510432442000 is 24423401521.

12510432442000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 120033936 + 12510312408064 = 10956^2 + 3536992^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-3 number, since 3×12510432442000³ (a number of 40 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 12510432442000.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3127606111 + ... + 3127610110.

Almost surely, 2^{12510432442000} is an apocalyptic number.

12510432442000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12510432442000 is an abundant number, since it is smaller than the sum of its proper divisors (17739793207592).

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

12510432442000 is an equidigital number, since it uses as much as digits as its factorization.

12510432442000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6255216244 (or 6255216228 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 28.

Adding to 12510432442000 its reverse (24423401521), we get a palindrome (12534855843521).

The spelling of 12510432442000 in words is "twelve trillion, five hundred ten billion, four hundred thirty-two million, four hundred forty-two thousand".