420114501121 has 12 divisors (see below), whose sum is σ = 517451955588. Its totient is φ = 338915899392.

The previous prime is 420114501091. The next prime is 420114501139. The reversal of 420114501121 is 121105411024.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 279460249600 + 140654251521 = 528640^2 + 375039^2 .

It is not a de Polignac number, because 420114501121 - 2²¹ = 420112403969 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 420114501092 and 420114501101.

It is not an unprimeable number, because it can be changed into a prime (420114501161) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 252168736 + ... + 252170401.

It is an arithmetic number, because the mean of its divisors is an integer number (43120996299).

Almost surely, 2^420114501121 is an apocalyptic number.

It is an amenable number.

420114501121 is a deficient number, since it is larger than the sum of its proper divisors (97337454467).

420114501121 is a wasteful number, since it uses less digits than its factorization.

420114501121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 504339168 (or 504339161 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 22.

Adding to 420114501121 its reverse (121105411024), we get a palindrome (541219912145).

The spelling of 420114501121 in words is "four hundred twenty billion, one hundred fourteen million, five hundred one thousand, one hundred twenty-one".