12301023200000 has 864 divisors, whose sum is σ = 33938447800320. Its totient is φ = 4429209600000.

The previous prime is 12301023199991. The next prime is 12301023200101. The reversal of 12301023200000 is 232010321.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 68720799911 + ... + 68720800089.

It is an arithmetic number, because the mean of its divisors is an integer number (39280610880).

Almost surely, 2^{12301023200000} is an apocalyptic number.

12301023200000 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 12301023200000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16969223900160).

12301023200000 is an abundant number, since it is smaller than the sum of its proper divisors (21637424600320).

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

12301023200000 is an equidigital number, since it uses as much as digits as its factorization.

12301023200000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 431 (or 397 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 14.

Adding to 12301023200000 its reverse (232010321), we get a palindrome (12301255210321).

The spelling of 12301023200000 in words is "twelve trillion, three hundred one billion, twenty-three million, two hundred thousand".