202221211120 has 160 divisors (see below), whose sum is σ = 512930527488. Its totient is φ = 73848520704.

The previous prime is 202221211111. The next prime is 202221211151. The reversal of 202221211120 is 21112122202.

It is a happy number.

It is a super-2 number, since 2×202221211120² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 202221211094 and 202221211103.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7208962 + ... + 7236958.

Almost surely, 2^202221211120 is an apocalyptic number.

202221211120 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 202221211120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (256465263744).

202221211120 is an abundant number, since it is smaller than the sum of its proper divisors (310709316368).

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

202221211120 is a wasteful number, since it uses less digits than its factorization.

202221211120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28187 (or 28181 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 202221211120 its reverse (21112122202), we get a palindrome (223333333322).

The spelling of 202221211120 in words is "two hundred two billion, two hundred twenty-one million, two hundred eleven thousand, one hundred twenty".