303234133242420 has 288 divisors, whose sum is σ = 960852770317440. Its totient is φ = 77329651276800.

The previous prime is 303234133242413. The next prime is 303234133242451. The reversal of 303234133242420 is 24242331432303.

303234133242420 is a `hidden beast` number, since 3 + 0 + 3 + 2 + 341 + 33 + 242 + 42 + 0 = 666.

It is a super-2 number, since 2×303234133242420² (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent 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 95 ways as a sum of consecutive naturals, for example, 2299025994 + ... + 2299157886.

It is an arithmetic number, because the mean of its divisors is an integer number (3336294341380).

Almost surely, 2^{303234133242420} is an apocalyptic number.

303234133242420 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 303234133242420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (480426385158720).

303234133242420 is an abundant number, since it is smaller than the sum of its proper divisors (657618637075020).

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

303234133242420 is a wasteful number, since it uses less digits than its factorization.

303234133242420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 137855 (or 137850 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 36.

Adding to 303234133242420 its reverse (24242331432303), we get a palindrome (327476464674723).

The spelling of 303234133242420 in words is "three hundred three trillion, two hundred thirty-four billion, one hundred thirty-three million, two hundred forty-two thousand, four hundred twenty".