12305004510400 has 168 divisors, whose sum is σ = 34688048419040. Its totient is φ = 4208542064640.

The previous prime is 12305004510373. The next prime is 12305004510401. The reversal of 12305004510400 is 401540050321.

It is a happy number.

12305004510400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is not an unprimeable number, because it can be changed into a prime (12305004510401) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3237694 + ... + 5923906.

Almost surely, 2^{12305004510400} is an apocalyptic number.

12305004510400 is a gapful number since it is divisible by the number (10) 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 12305004510400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17344024209520).

12305004510400 is an abundant number, since it is smaller than the sum of its proper divisors (22383043908640).

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

12305004510400 is a wasteful number, since it uses less digits than its factorization.

12305004510400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2686651 (or 2686636 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 25.

Adding to 12305004510400 its reverse (401540050321), we get a palindrome (12706544560721).

The spelling of 12305004510400 in words is "twelve trillion, three hundred five billion, four million, five hundred ten thousand, four hundred".