420123452311305 has 12 divisors (see below), whose sum is σ = 728213984006340. Its totient is φ = 224065841232672.

The previous prime is 420123452311279. The next prime is 420123452311417. The reversal of 420123452311305 is 503113254321024.

420123452311305 is a `hidden beast` number, since 4 + 2 + 0 + 1 + 2 + 34 + 5 + 2 + 311 + 305 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 123364293874704 + 296759158436601 = 11106948^2 + 17226699^2 .

It is not a de Polignac number, because 420123452311305 - 2¹⁷ = 420123452180233 is a prime.

It is a super-3 number, since 3×420123452311305³ (a number of 45 digits) contains 333 as substring.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 420123452311305.

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 11 ways as a sum of consecutive naturals, for example, 4668038358970 + ... + 4668038359059.

It is an arithmetic number, because the mean of its divisors is an integer number (60684498667195).

Almost surely, 2^{420123452311305} is an apocalyptic number.

420123452311305 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

420123452311305 is a deficient number, since it is larger than the sum of its proper divisors (308090531695035).

420123452311305 is a wasteful number, since it uses less digits than its factorization.

420123452311305 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9336076718040 (or 9336076718037 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 36.

The spelling of 420123452311305 in words is "four hundred twenty trillion, one hundred twenty-three billion, four hundred fifty-two million, three hundred eleven thousand, three hundred five".