12304241040000 has 2880 divisors, whose sum is σ = 53048123916480. Its totient is φ = 2515968000000.

The previous prime is 12304241039983. The next prime is 12304241040001. The reversal of 12304241040000 is 4014240321.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is not an unprimeable number, because it can be changed into a prime (12304241040001) by changing a digit.

It is a polite number, since it can be written in 359 ways as a sum of consecutive naturals, for example, 81485039925 + ... + 81485040075.

It is an arithmetic number, because the mean of its divisors is an integer number (18419487471).

Almost surely, 2^{12304241040000} is an apocalyptic number.

12304241040000 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 12304241040000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26524061958240).

12304241040000 is an abundant number, since it is smaller than the sum of its proper divisors (40743882876480).

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

12304241040000 is a wasteful number, since it uses less digits than its factorization.

12304241040000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 269 (or 222 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 21.

Adding to 12304241040000 its reverse (4014240321), we get a palindrome (12308255280321).

The spelling of 12304241040000 in words is "twelve trillion, three hundred four billion, two hundred forty-one million, forty thousand".