221240242120 has 64 divisors (see below), whose sum is σ = 500076083520. Its totient is φ = 88090447104.

The previous prime is 221240242117. The next prime is 221240242121. The reversal of 221240242120 is 21242042122.

221240242120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 221240242091 and 221240242100.

It is not an unprimeable number, because it can be changed into a prime (221240242121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11276239 + ... + 11295841.

It is an arithmetic number, because the mean of its divisors is an integer number (7813688805).

Almost surely, 2^221240242120 is an apocalyptic number.

221240242120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

221240242120 is an abundant number, since it is smaller than the sum of its proper divisors (278835841400).

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

221240242120 is a wasteful number, since it uses less digits than its factorization.

221240242120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20894 (or 20890 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 22.

Adding to 221240242120 its reverse (21242042122), we get a palindrome (242482284242).

It can be divided in two parts, 2212402 and 42120, that added together give a palindrome (2254522).

The spelling of 221240242120 in words is "two hundred twenty-one billion, two hundred forty million, two hundred forty-two thousand, one hundred twenty".