420132130020 has 60 divisors (see below), whose sum is σ = 1317970057404. Its totient is φ = 112035234240.

The previous prime is 420132129929. The next prime is 420132130123. The reversal of 420132130020 is 20031231024.

420132130020 is a `hidden beast` number, since 4 + 20 + 1 + 321 + 300 + 20 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 200754179136 + 219377950884 = 448056^2 + 468378^2 .

It is a tau number, because it is divible by the number of its divisors (60).

It is a super-2 number, since 2×420132130020² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 420132129975 and 420132130002.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 129668791 + ... + 129672030.

Almost surely, 2^420132130020 is an apocalyptic number.

It is an amenable number.

420132130020 is an abundant number, since it is smaller than the sum of its proper divisors (897837927384).

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

420132130020 is a wasteful number, since it uses less digits than its factorization.

420132130020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 259340842 (or 259340831 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 420132130020 its reverse (20031231024), we get a palindrome (440163361044).

The spelling of 420132130020 in words is "four hundred twenty billion, one hundred thirty-two million, one hundred thirty thousand, twenty".