303012120012120 has 384 divisors, whose sum is σ = 1064644841594880. Its totient is φ = 77422443840000.

The previous prime is 303012120012061. The next prime is 303012120012137. The reversal of 303012120012120 is 21210021210303.

303012120012120 is a `hidden beast` number, since 3 + 0 + 301 + 21 + 200 + 121 + 20 = 666.

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 = 303012120012093 and 303012120012102.

It is a congruent number.

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, 25455025 + ... + 35411615.

It is an arithmetic number, because the mean of its divisors is an integer number (2772512608320).

Almost surely, 2^{303012120012120} is an apocalyptic number.

303012120012120 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 303012120012120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (532322420797440).

303012120012120 is an abundant number, since it is smaller than the sum of its proper divisors (761632721582760).

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

303012120012120 is a wasteful number, since it uses less digits than its factorization.

303012120012120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9956749 (or 9956733 counting only the distinct ones).

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

Adding to 303012120012120 its reverse (21210021210303), we get a palindrome (324222141222423).

The spelling of 303012120012120 in words is "three hundred three trillion, twelve billion, one hundred twenty million, twelve thousand, one hundred twenty".