420701121 has 45 divisors (see below), whose sum is σ = 655778739. Its totient is φ = 268776144.

The previous prime is 420701101. The next prime is 420701179. The reversal of 420701121 is 121107024.

The square root of 420701121 is 20511.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 303282225 + 117418896 = 17415^2 + 10836^2 .

It is a de Polignac number, because none of the positive numbers 2^k-420701121 is a prime.

It is a hoax number, since the sum of its digits (18) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 420701094 and 420701103.

It is not an unprimeable number, because it can be changed into a prime (420701101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 7937731 + ... + 7937783.

Almost surely, 2^420701121 is an apocalyptic number.

420701121 is the 20511-st square number.

420701121 is the 10256-th centered octagonal number.

It is an amenable number.

420701121 is a deficient number, since it is larger than the sum of its proper divisors (235077618).

420701121 is an frugal number, since it uses more digits than its factorization.

420701121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 204 (or 99 counting only the distinct ones).

The product of its (nonzero) digits is 112, while the sum is 18.

The cubic root of 420701121 is about 749.3037217956.

Adding to 420701121 its reverse (121107024), we get a palindrome (541808145).

The spelling of 420701121 in words is "four hundred twenty million, seven hundred one thousand, one hundred twenty-one".