122221120 has 56 divisors (see below), whose sum is σ = 332622144. Its totient is φ = 41903616.

The previous prime is 122221087. The next prime is 122221147. The reversal of 122221120 is 21122221.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (56).

It is a self number, because there is not a number n which added to its sum of digits gives 122221120.

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 7 ways as a sum of consecutive naturals, for example, 25042 + ... + 29521.

Almost surely, 2^122221120 is an apocalyptic number.

122221120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

122221120 is an abundant number, since it is smaller than the sum of its proper divisors (210401024).

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

122221120 is an equidigital number, since it uses as much as digits as its factorization.

122221120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 54587 (or 54577 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 13.

The square root of 122221120 is about 11055.3661178633. The cubic root of 122221120 is about 496.2670258336.

Adding to 122221120 its reverse (21122221), we get a palindrome (143343341).

The spelling of 122221120 in words is "one hundred twenty-two million, two hundred twenty-one thousand, one hundred twenty".