420002121 has 32 divisors (see below), whose sum is σ = 702867456. Its totient is φ = 216720000.

The previous prime is 420002101. The next prime is 420002123. The reversal of 420002121 is 121200024.

It is not a de Polignac number, because 420002121 - 2¹⁵ = 419969353 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 420002097 and 420002106.

It is not an unprimeable number, because it can be changed into a prime (420002123) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 28861 + ... + 40901.

It is an arithmetic number, because the mean of its divisors is an integer number (21964608).

Almost surely, 2^420002121 is an apocalyptic number.

It is an amenable number.

420002121 is a deficient number, since it is larger than the sum of its proper divisors (282865335).

420002121 is a wasteful number, since it uses less digits than its factorization.

420002121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12213.

The product of its (nonzero) digits is 32, while the sum is 12.

The square root of 420002121 is about 20493.9532789552. The cubic root of 420002121 is about 748.8884993466. Note that the first 3 decimals are identical.

Adding to 420002121 its reverse (121200024), we get a palindrome (541202145).

The spelling of 420002121 in words is "four hundred twenty million, two thousand, one hundred twenty-one".