12300103132032 has 128 divisors (see below), whose sum is σ = 32755266984960. Its totient is φ = 4089609285632.

The previous prime is 12300103132003. The next prime is 12300103132043. The reversal of 12300103132032 is 23023130100321.

12300103132032 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 758181073 + ... + 758197295.

It is an arithmetic number, because the mean of its divisors is an integer number (255900523320).

Almost surely, 2^{12300103132032} is an apocalyptic number.

12300103132032 is a gapful number since it is divisible by the number (12) 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 12300103132032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16377633492480).

12300103132032 is an abundant number, since it is smaller than the sum of its proper divisors (20455163852928).

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

12300103132032 is a wasteful number, since it uses less digits than its factorization.

12300103132032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21140 (or 21128 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 21.

Adding to 12300103132032 its reverse (23023130100321), we get a palindrome (35323233232353).

The spelling of 12300103132032 in words is "twelve trillion, three hundred billion, one hundred three million, one hundred thirty-two thousand, thirty-two".