221121120 has 96 divisors (see below), whose sum is σ = 759870720. Its totient is φ = 53603840.

The previous prime is 221121119. The next prime is 221121133. The reversal of 221121120 is 21121122.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 221121096 and 221121105.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 15660 + ... + 26219.

It is an arithmetic number, because the mean of its divisors is an integer number (7915320).

Almost surely, 2^221121120 is an apocalyptic number.

221121120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

221121120 is an abundant number, since it is smaller than the sum of its proper divisors (538749600).

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

221121120 is a wasteful number, since it uses less digits than its factorization.

221121120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41908 (or 41900 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

The square root of 221121120 is about 14870.1418957588. The cubic root of 221121120 is about 604.7047896091.

Adding to 221121120 its reverse (21121122), we get a palindrome (242242242).

It can be divided in two parts, 22112 and 1120, that added together give a palindrome (23232).

The spelling of 221121120 in words is "two hundred twenty-one million, one hundred twenty-one thousand, one hundred twenty".