4512102144000 has 768 divisors, whose sum is σ = 16759611348480. Its totient is φ = 1068318720000.

The previous prime is 4512102143963. The next prime is 4512102144007. The reversal of 4512102144000 is 4412012154.

It is a tau number, because it is divible by the number of its divisors (768).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4512102144007) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 363257790 + ... + 363270210.

It is an arithmetic number, because the mean of its divisors is an integer number (21822410610).

Almost surely, 2^{4512102144000} is an apocalyptic number.

4512102144000 is a gapful number since it is divisible by the number (40) 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 4512102144000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8379805674240).

4512102144000 is an abundant number, since it is smaller than the sum of its proper divisors (12247509204480).

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

4512102144000 is a wasteful number, since it uses less digits than its factorization.

4512102144000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12515 (or 12485 counting only the distinct ones).

The product of its (nonzero) digits is 1280, while the sum is 24.

Adding to 4512102144000 its reverse (4412012154), we get a palindrome (4516514156154).

The spelling of 4512102144000 in words is "four trillion, five hundred twelve billion, one hundred two million, one hundred forty-four thousand".