12304032222440 has 384 divisors, whose sum is σ = 34748167034880. Its totient is φ = 3836270592000.

The previous prime is 12304032222373. The next prime is 12304032222511. The reversal of 12304032222440 is 4422223040321.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1758469022 + ... + 1758476018.

It is an arithmetic number, because the mean of its divisors is an integer number (90490018320).

Almost surely, 2^{12304032222440} is an apocalyptic number.

12304032222440 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 12304032222440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17374083517440).

12304032222440 is an abundant number, since it is smaller than the sum of its proper divisors (22444134812440).

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

12304032222440 is a wasteful number, since it uses less digits than its factorization.

12304032222440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7781 (or 7760 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 29.

Adding to 12304032222440 its reverse (4422223040321), we get a palindrome (16726255262761).

The spelling of 12304032222440 in words is "twelve trillion, three hundred four billion, thirty-two million, two hundred twenty-two thousand, four hundred forty".