120301300224 has 960 divisors, whose sum is σ = 454098078720. Its totient is φ = 31213486080.

The previous prime is 120301300183. The next prime is 120301300261. The reversal of 120301300224 is 422003103021.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 120301300197 and 120301300206.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 356976984 + ... + 356977320.

It is an arithmetic number, because the mean of its divisors is an integer number (473018832).

Almost surely, 2^120301300224 is an apocalyptic number.

120301300224 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 120301300224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (227049039360).

120301300224 is an abundant number, since it is smaller than the sum of its proper divisors (333796778496).

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

120301300224 is a wasteful number, since it uses less digits than its factorization.

120301300224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 426 (or 397 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 120301300224 its reverse (422003103021), we get a palindrome (542304403245).

The spelling of 120301300224 in words is "one hundred twenty billion, three hundred one million, three hundred thousand, two hundred twenty-four".