120304101221304 has 768 divisors, whose sum is σ = 408947023779840. Its totient is φ = 28697791795200.

The previous prime is 120304101221243. The next prime is 120304101221341. The reversal of 120304101221304 is 403122101403021.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 60242413234 + ... + 60242415230.

It is an arithmetic number, because the mean of its divisors is an integer number (532483103880).

Almost surely, 2^{120304101221304} is an apocalyptic number.

120304101221304 is a gapful number since it is divisible by the number (14) 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 120304101221304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (204473511889920).

120304101221304 is an abundant number, since it is smaller than the sum of its proper divisors (288642922558536).

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

120304101221304 is a wasteful number, since it uses less digits than its factorization.

120304101221304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3092 (or 3077 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

Adding to 120304101221304 its reverse (403122101403021), we get a palindrome (523426202624325).

The spelling of 120304101221304 in words is "one hundred twenty trillion, three hundred four billion, one hundred one million, two hundred twenty-one thousand, three hundred four".