12300323032032 has 96 divisors (see below), whose sum is σ = 36963197897472. Its totient is φ = 3508451457024.

The previous prime is 12300323032031. The next prime is 12300323032037. The reversal of 12300323032032 is 23023032300321.

12300323032032 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 (96).

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

It is a junction number, because it is equal to n+sod(n) for n = 12300323031993 and 12300323032011.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12300323032031) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 15034938 + ... + 15831929.

It is an arithmetic number, because the mean of its divisors is an integer number (385033311432).

Almost surely, 2^{12300323032032} is an apocalyptic number.

12300323032032 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

12300323032032 is an abundant number, since it is smaller than the sum of its proper divisors (24662874865440).

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

12300323032032 is a wasteful number, since it uses less digits than its factorization.

12300323032032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30867480 (or 30867472 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 24.

Adding to 12300323032032 its reverse (23023032300321), we get a palindrome (35323355332353).

The spelling of 12300323032032 in words is "twelve trillion, three hundred billion, three hundred twenty-three million, thirty-two thousand, thirty-two".