202022221211120 has 160 divisors (see below), whose sum is σ = 489494083516416. Its totient is φ = 77453968665600.

The previous prime is 202022221211117. The next prime is 202022221211159. The reversal of 202022221211120 is 21112122220202.

It is a super-2 number, since 2×202022221211120² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 202022221211092 and 202022221211101.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1219777115 + ... + 1219942725.

Almost surely, 2^{202022221211120} is an apocalyptic number.

202022221211120 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 202022221211120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (244747041758208).

202022221211120 is an abundant number, since it is smaller than the sum of its proper divisors (287471862305296).

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

202022221211120 is a wasteful number, since it uses less digits than its factorization.

202022221211120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 170359 (or 170353 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 20.

Adding to 202022221211120 its reverse (21112122220202), we get a palindrome (223134343431322).

The spelling of 202022221211120 in words is "two hundred two trillion, twenty-two billion, two hundred twenty-one million, two hundred eleven thousand, one hundred twenty".