12300102144 has 240 divisors, whose sum is σ = 38933088480. Its totient is φ = 3707412480.

The previous prime is 12300102121. The next prime is 12300102179. The reversal of 12300102144 is 44120100321.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 11505642 + ... + 11506710.

It is an arithmetic number, because the mean of its divisors is an integer number (162221202).

Almost surely, 2^12300102144 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12300102144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19466544240).

12300102144 is an abundant number, since it is smaller than the sum of its proper divisors (26632986336).

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

12300102144 is a wasteful number, since it uses less digits than its factorization.

12300102144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1331 (or 1312 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 12300102144 its reverse (44120100321), we get a palindrome (56420202465).

The spelling of 12300102144 in words is "twelve billion, three hundred million, one hundred two thousand, one hundred forty-four".