420121123424 has 72 divisors (see below), whose sum is σ = 862225673400. Its totient is φ = 201483770880.

The previous prime is 420121123421. The next prime is 420121123451. The reversal of 420121123424 is 424321121024.

It is a junction number, because it is equal to n+sod(n) for n = 420121123393 and 420121123402.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (420121123421) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 3414527 + ... + 3535425.

It is an arithmetic number, because the mean of its divisors is an integer number (11975356575).

Almost surely, 2^420121123424 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 420121123424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (431112836700).

420121123424 is an abundant number, since it is smaller than the sum of its proper divisors (442104549976).

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

420121123424 is a wasteful number, since it uses less digits than its factorization.

420121123424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 121084 (or 121045 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 26.

Adding to 420121123424 its reverse (424321121024), we get a palindrome (844442244448).

The spelling of 420121123424 in words is "four hundred twenty billion, one hundred twenty-one million, one hundred twenty-three thousand, four hundred twenty-four".