12305350400 has 162 divisors, whose sum is σ = 35431247880. Its totient is φ = 4218869760.

The previous prime is 12305350381. The next prime is 12305350403. The reversal of 12305350400 is 405350321.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12305350403) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 293981 + ... + 333219.

Almost surely, 2^12305350400 is an apocalyptic number.

12305350400 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 12305350400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17715623940).

12305350400 is an abundant number, since it is smaller than the sum of its proper divisors (23125897480).

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

12305350400 is an equidigital number, since it uses as much as digits as its factorization.

12305350400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 39279 (or 39253 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 23.

The spelling of 12305350400 in words is "twelve billion, three hundred five million, three hundred fifty thousand, four hundred".