202120320420 has 36 divisors (see below), whose sum is σ = 613098305820. Its totient is φ = 53898752064.

The previous prime is 202120320401. The next prime is 202120320439. The reversal of 202120320420 is 24023021202.

202120320420 is a `hidden beast` number, since 2 + 0 + 21 + 203 + 20 + 420 = 666.

It is an interprime number because it is at equal distance from previous prime (202120320401) and next prime (202120320439).

It can be written as a sum of positive squares in 2 ways, for example, as 66437124516 + 135683195904 = 257754^2 + 368352^2 .

It is a tau number, because it is divible by the number of its divisors (36).

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 = 202120320393 and 202120320402.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 561445155 + ... + 561445514.

It is an arithmetic number, because the mean of its divisors is an integer number (17030508495).

Almost surely, 2^202120320420 is an apocalyptic number.

202120320420 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

202120320420 is an abundant number, since it is smaller than the sum of its proper divisors (410977985400).

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

202120320420 is a wasteful number, since it uses less digits than its factorization.

202120320420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1122890684 (or 1122890679 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

Adding to 202120320420 its reverse (24023021202), we get a palindrome (226143341622).

The spelling of 202120320420 in words is "two hundred two billion, one hundred twenty million, three hundred twenty thousand, four hundred twenty".