202201200022120 has 128 divisors (see below), whose sum is σ = 500397305264640. Its totient is φ = 73066942402560.

The previous prime is 202201200022103. The next prime is 202201200022121. The reversal of 202201200022120 is 21220002102202.

It is a junction number, because it is equal to n+sod(n) for n = 202201200022094 and 202201200022103.

It is not an unprimeable number, because it can be changed into a prime (202201200022121) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 544606464 + ... + 544977616.

It is an arithmetic number, because the mean of its divisors is an integer number (3909353947380).

Almost surely, 2^{202201200022120} is an apocalyptic number.

202201200022120 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 202201200022120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (250198652632320).

202201200022120 is an abundant number, since it is smaller than the sum of its proper divisors (298196105242520).

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

202201200022120 is a wasteful number, since it uses less digits than its factorization.

202201200022120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 393515 (or 393511 counting only the distinct ones).

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

Adding to 202201200022120 its reverse (21220002102202), we get a palindrome (223421202124322).

The spelling of 202201200022120 in words is "two hundred two trillion, two hundred one billion, two hundred million, twenty-two thousand, one hundred twenty".