120345470318304 has 1728 divisors, whose sum is σ = 464466122265600. Its totient is φ = 29142457344000.

The previous prime is 120345470318257. The next prime is 120345470318351. The reversal of 120345470318304 is 403813074543021.

It is a happy number.

120345470318304 is a `hidden beast` number, since 1 + 20 + 3 + 4 + 5 + 4 + 7 + 0 + 318 + 304 = 666.

It is an interprime number because it is at equal distance from previous prime (120345470318257) and next prime (120345470318351).

It is a super-2 number, since 2×120345470318304² (a number of 29 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 120345470318304.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 92502282454 + ... + 92502283754.

It is an arithmetic number, because the mean of its divisors is an integer number (268788265200).

Almost surely, 2^{120345470318304} is an apocalyptic number.

120345470318304 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 120345470318304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (232233061132800).

120345470318304 is an abundant number, since it is smaller than the sum of its proper divisors (344120651947296).

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

120345470318304 is a wasteful number, since it uses less digits than its factorization.

120345470318304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1837 (or 1819 counting only the distinct ones).

The product of its (nonzero) digits is 967680, while the sum is 45.

The spelling of 120345470318304 in words is "one hundred twenty trillion, three hundred forty-five billion, four hundred seventy million, three hundred eighteen thousand, three hundred four".