12302133334304 has 288 divisors, whose sum is σ = 28189476403200. Its totient is φ = 5272261632000.

The previous prime is 12302133334247. The next prime is 12302133334313. The reversal of 12302133334304 is 40343333120321.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5162455097 + ... + 5162457479.

It is an arithmetic number, because the mean of its divisors is an integer number (97880126400).

Almost surely, 2^{12302133334304} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12302133334304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14094738201600).

12302133334304 is an abundant number, since it is smaller than the sum of its proper divisors (15887343068896).

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

12302133334304 is a wasteful number, since it uses less digits than its factorization.

12302133334304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3536 (or 3517 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 32.

Adding to 12302133334304 its reverse (40343333120321), we get a palindrome (52645466454625).

The spelling of 12302133334304 in words is "twelve trillion, three hundred two billion, one hundred thirty-three million, three hundred thirty-four thousand, three hundred four".