12451534440000 has 280 divisors, whose sum is σ = 41688819807360. Its totient is φ = 3278376192000.

The previous prime is 12451534439987. The next prime is 12451534440019. The reversal of 12451534440000 is 4443515421.

It is a happy number.

It is a super-2 number, since 2×12451534440000² (a number of 27 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 8823274 + ... + 10136726.

Almost surely, 2^{12451534440000} is an apocalyptic number.

12451534440000 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 12451534440000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20844409903680).

12451534440000 is an abundant number, since it is smaller than the sum of its proper divisors (29237285367360).

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

12451534440000 is an equidigital number, since it uses as much as digits as its factorization.

12451534440000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1313567 (or 1313542 counting only the distinct ones).

The product of its (nonzero) digits is 38400, while the sum is 33.

Adding to 12451534440000 its reverse (4443515421), we get a palindrome (12455977955421).

The spelling of 12451534440000 in words is "twelve trillion, four hundred fifty-one billion, five hundred thirty-four million, four hundred forty thousand".