202220111120 has 80 divisors (see below), whose sum is σ = 491839614000. Its totient is φ = 77221208064.

The previous prime is 202220111113. The next prime is 202220111189. The reversal of 202220111120 is 21111022202.

It can be written as a sum of positive squares in 8 ways, for example, as 43675984144 + 158544126976 = 208988^2 + 398176^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is a junction number, because it is equal to n+sod(n) for n = 202220111095 and 202220111104.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 283205 + ... + 696164.

It is an arithmetic number, because the mean of its divisors is an integer number (6147995175).

Almost surely, 2^202220111120 is an apocalyptic number.

202220111120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

202220111120 is an abundant number, since it is smaller than the sum of its proper divisors (289619502880).

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

202220111120 is a wasteful number, since it uses less digits than its factorization.

202220111120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 979500 (or 979494 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 202220111120 its reverse (21111022202), we get a palindrome (223331133322).

The spelling of 202220111120 in words is "two hundred two billion, two hundred twenty million, one hundred eleven thousand, one hundred twenty".