420404240222120 has 256 divisors, whose sum is σ = 1235907353664000. Its totient is φ = 127493597306880.

The previous prime is 420404240222111. The next prime is 420404240222137. The reversal of 420404240222120 is 21222042404024.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 32059337 + ... + 43227416.

It is an arithmetic number, because the mean of its divisors is an integer number (4827763100250).

Almost surely, 2^{420404240222120} is an apocalyptic number.

420404240222120 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

420404240222120 is an abundant number, since it is smaller than the sum of its proper divisors (815503113441880).

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

420404240222120 is a wasteful number, since it uses less digits than its factorization.

420404240222120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 75286833 (or 75286815 counting only the distinct ones).

The product of its (nonzero) digits is 16384, while the sum is 29.

Adding to 420404240222120 its reverse (21222042404024), we get a palindrome (441626282626144).

The spelling of 420404240222120 in words is "four hundred twenty trillion, four hundred four billion, two hundred forty million, two hundred twenty-two thousand, one hundred twenty".