120414213223304 has 768 divisors, whose sum is σ = 314788608668160. Its totient is φ = 41916026880000.

The previous prime is 120414213223279. The next prime is 120414213223351. The reversal of 120414213223304 is 403322312414021.

It is a happy number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 126352794092 + ... + 126352795044.

It is an arithmetic number, because the mean of its divisors is an integer number (409881000870).

Almost surely, 2^{120414213223304} is an apocalyptic number.

120414213223304 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 120414213223304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157394304334080).

120414213223304 is an abundant number, since it is smaller than the sum of its proper divisors (194374395444856).

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

120414213223304 is a wasteful number, since it uses less digits than its factorization.

120414213223304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1362 (or 1345 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 32.

Adding to 120414213223304 its reverse (403322312414021), we get a palindrome (523736525637325).

The spelling of 120414213223304 in words is "one hundred twenty trillion, four hundred fourteen billion, two hundred thirteen million, two hundred twenty-three thousand, three hundred four".