202220131221120 has 128 divisors (see below), whose sum is σ = 644682738816000. Its totient is φ = 53916494450688.

The previous prime is 202220131221113. The next prime is 202220131221131. The reversal of 202220131221120 is 21122131022202.

It is a tau number, because it is divible by the number of its divisors (128).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3008826 + ... + 20334534.

It is an arithmetic number, because the mean of its divisors is an integer number (5036583897000).

Almost surely, 2^{202220131221120} is an apocalyptic number.

202220131221120 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 202220131221120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (322341369408000).

202220131221120 is an abundant number, since it is smaller than the sum of its proper divisors (442462607594880).

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

202220131221120 is a wasteful number, since it uses less digits than its factorization.

202220131221120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17331810 (or 17331798 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 21.

Adding to 202220131221120 its reverse (21122131022202), we get a palindrome (223342262243322).

The spelling of 202220131221120 in words is "two hundred two trillion, two hundred twenty billion, one hundred thirty-one million, two hundred twenty-one thousand, one hundred twenty".