202201120 has 96 divisors (see below), whose sum is σ = 525704256. Its totient is φ = 72883200.

The previous prime is 202201099. The next prime is 202201123. The reversal of 202201120 is 21102202.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a junction number, because it is equal to n+sod(n) for n = 202201097 and 202201106.

It is not an unprimeable number, because it can be changed into a prime (202201123) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 230122 + ... + 230998.

It is an arithmetic number, because the mean of its divisors is an integer number (5476086).

Almost surely, 2^202201120 is an apocalyptic number.

202201120 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 202201120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (262852128).

202201120 is an abundant number, since it is smaller than the sum of its proper divisors (323503136).

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

202201120 is a wasteful number, since it uses less digits than its factorization.

202201120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1034 (or 1026 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 10.

The square root of 202201120 is about 14219.7440201995. The cubic root of 202201120 is about 586.9410963553.

Adding to 202201120 its reverse (21102202), we get a palindrome (223303322).

The spelling of 202201120 in words is "two hundred two million, two hundred one thousand, one hundred twenty".