301301421120 has 336 divisors, whose sum is σ = 1185153840000. Its totient is φ = 68825161728.

The previous prime is 301301421061. The next prime is 301301421143. The reversal of 301301421120 is 21124103103.

301301421120 is a `hidden beast` number, since 301 + 301 + 42 + 1 + 1 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (336).

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 = 301301421093 and 301301421102.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 40175131 + ... + 40182629.

Almost surely, 2^301301421120 is an apocalyptic number.

301301421120 is a gapful number since it is divisible by the number (30) 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 301301421120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (592576920000).

301301421120 is an abundant number, since it is smaller than the sum of its proper divisors (883852418880).

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

301301421120 is a wasteful number, since it uses less digits than its factorization.

301301421120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9522 (or 9509 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 301301421120 its reverse (21124103103), we get a palindrome (322425524223).

The spelling of 301301421120 in words is "three hundred one billion, three hundred one million, four hundred twenty-one thousand, one hundred twenty".