202120313220 has 288 divisors, whose sum is σ = 708819261696. Its totient is φ = 45664128000.

The previous prime is 202120313207. The next prime is 202120313221. The reversal of 202120313220 is 22313021202.

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 = 202120313193 and 202120313202.

It is not an unprimeable number, because it can be changed into a prime (202120313221) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 111606115 + ... + 111607925.

It is an arithmetic number, because the mean of its divisors is an integer number (2461177992).

Almost surely, 2^202120313220 is an apocalyptic number.

202120313220 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 202120313220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (354409630848).

202120313220 is an abundant number, since it is smaller than the sum of its proper divisors (506698948476).

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

202120313220 is a wasteful number, since it uses less digits than its factorization.

202120313220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2811 (or 2806 counting only the distinct ones).

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

Adding to 202120313220 its reverse (22313021202), we get a palindrome (224433334422).

The spelling of 202120313220 in words is "two hundred two billion, one hundred twenty million, three hundred thirteen thousand, two hundred twenty".