420121412224 has 32 divisors (see below), whose sum is σ = 837479921940. Its totient is φ = 209930373120.

The previous prime is 420121412209. The next prime is 420121412239. The reversal of 420121412224 is 422214121024.

It is an interprime number because it is at equal distance from previous prime (420121412209) and next prime (420121412239).

It can be written as a sum of positive squares in 2 ways, for example, as 415034869824 + 5086542400 = 644232^2 + 71320^2 .

It is a tau number, because it is divible by the number of its divisors (32).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 810957 + ... + 1223884.

Almost surely, 2^420121412224 is an apocalyptic number.

It is an amenable number.

420121412224 is a deficient number, since it is larger than the sum of its proper divisors (417358509716).

420121412224 is a wasteful number, since it uses less digits than its factorization.

420121412224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2036468 (or 2036456 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 25.

Adding to 420121412224 its reverse (422214121024), we get a palindrome (842335533248).

The spelling of 420121412224 in words is "four hundred twenty billion, one hundred twenty-one million, four hundred twelve thousand, two hundred twenty-four".