12306240000 has 300 divisors, whose sum is σ = 44391982206. Its totient is φ = 3280896000.

The previous prime is 12306239983. The next prime is 12306240049. The reversal of 12306240000 is 4260321.

It is a happy number.

12306240000 is a `hidden beast` number, since 12 + 30 + 624 + 0 + 0 + 0 + 0 = 666.

It can be written as a sum of positive squares in 5 ways, for example, as 1218816 + 12305021184 = 1104^2 + 110928^2 .

It is a tau number, because it is divible by the number of its divisors (300).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 2877864 + ... + 2882136.

Almost surely, 2^12306240000 is an apocalyptic number.

12306240000 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 12306240000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22195991103).

12306240000 is an abundant number, since it is smaller than the sum of its proper divisors (32085742206).

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

12306240000 is an frugal number, since it uses more digits than its factorization.

12306240000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4317 (or 4283 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The spelling of 12306240000 in words is "twelve billion, three hundred six million, two hundred forty thousand".