12450330144000 has 864 divisors, whose sum is σ = 51444318831360. Its totient is φ = 2832205824000.

The previous prime is 12450330143981. The next prime is 12450330144019. The reversal of 12450330144000 is 44103305421.

It is a happy number.

12450330144000 is a `hidden beast` number, since 1 + 245 + 0 + 3 + 3 + 0 + 14 + 400 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (12450330143981) and next prime (12450330144019).

It is a congruent number.

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 95 ways as a sum of consecutive naturals, for example, 425361366 + ... + 425390634.

Almost surely, 2^{12450330144000} is an apocalyptic number.

12450330144000 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 12450330144000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25722159415680).

12450330144000 is an abundant number, since it is smaller than the sum of its proper divisors (38993988687360).

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

12450330144000 is a wasteful number, since it uses less digits than its factorization.

12450330144000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29524 (or 29497 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

Adding to 12450330144000 its reverse (44103305421), we get a palindrome (12494433449421).

The spelling of 12450330144000 in words is "twelve trillion, four hundred fifty billion, three hundred thirty million, one hundred forty-four thousand".