202022122120 has 128 divisors (see below), whose sum is σ = 559639987200. Its totient is φ = 63914489856.

The previous prime is 202022122103. The next prime is 202022122139. The reversal of 202022122120 is 21221220202.

It is a junction number, because it is equal to n+sod(n) for n = 202022122094 and 202022122103.

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, 12837697 + ... + 12853423.

It is an arithmetic number, because the mean of its divisors is an integer number (4372187400).

Almost surely, 2^202022122120 is an apocalyptic number.

202022122120 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 202022122120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (279819993600).

202022122120 is an abundant number, since it is smaller than the sum of its proper divisors (357617865080).

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

202022122120 is a wasteful number, since it uses less digits than its factorization.

202022122120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19287 (or 19283 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 16.

Adding to 202022122120 its reverse (21221220202), we get a palindrome (223243342322).

The spelling of 202022122120 in words is "two hundred two billion, twenty-two million, one hundred twenty-two thousand, one hundred twenty".