120224210410304 has 504 divisors, whose sum is σ = 329842853107488. Its totient is φ = 42971878010880.

The previous prime is 120224210410261. The next prime is 120224210410313. The reversal of 120224210410304 is 403014012422021.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 950198054 + ... + 950324570.

It is an arithmetic number, because the mean of its divisors is an integer number (654450105372).

Almost surely, 2^{120224210410304} is an apocalyptic number.

120224210410304 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 120224210410304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164921426553744).

120224210410304 is an abundant number, since it is smaller than the sum of its proper divisors (209618642697184).

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

120224210410304 is a wasteful number, since it uses less digits than its factorization.

120224210410304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 126743 (or 126713 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 26.

Adding to 120224210410304 its reverse (403014012422021), we get a palindrome (523238222832325).

The spelling of 120224210410304 in words is "one hundred twenty trillion, two hundred twenty-four billion, two hundred ten million, four hundred ten thousand, three hundred four".