202120120020 has 192 divisors, whose sum is σ = 696865236480. Its totient is φ = 42625032192.

The previous prime is 202120119983. The next prime is 202120120109. The reversal of 202120120020 is 20021021202.

202120120020 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 202120119978 and 202120120005.

It is a congruent number.

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 63 ways as a sum of consecutive naturals, for example, 13495096 + ... + 13510064.

It is an arithmetic number, because the mean of its divisors is an integer number (3629506440).

Almost surely, 2^202120120020 is an apocalyptic number.

202120120020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 202120120020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (348432618240).

202120120020 is an abundant number, since it is smaller than the sum of its proper divisors (494745116460).

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

202120120020 is a wasteful number, since it uses less digits than its factorization.

202120120020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17474 (or 17472 counting only the distinct ones).

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

Adding to 202120120020 its reverse (20021021202), we get a palindrome (222141141222).

The spelling of 202120120020 in words is "two hundred two billion, one hundred twenty million, one hundred twenty thousand, twenty".