12300325632 has 432 divisors, whose sum is σ = 42998172672. Its totient is φ = 3433881600.

The previous prime is 12300325619. The next prime is 12300325649. The reversal of 12300325632 is 23652300321.

12300325632 is a `hidden beast` number, since 1 + 2 + 3 + 0 + 0 + 3 + 25 + 632 = 666.

It is a tau number, because it is divible by the number of its divisors (432).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 12300325596 and 12300325605.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 20466132 + ... + 20466732.

Almost surely, 2^12300325632 is an apocalyptic number.

12300325632 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 12300325632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21499086336).

12300325632 is an abundant number, since it is smaller than the sum of its proper divisors (30697847040).

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

12300325632 is an frugal number, since it uses more digits than its factorization.

12300325632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 686 (or 660 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 27.

Adding to 12300325632 its reverse (23652300321), we get a palindrome (35952625953).

The spelling of 12300325632 in words is "twelve billion, three hundred million, three hundred twenty-five thousand, six hundred thirty-two".