122201120 has 24 divisors (see below), whose sum is σ = 288700524. Its totient is φ = 48880384.

The previous prime is 122201111. The next prime is 122201143. The reversal of 122201120 is 21102221.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 104121616 + 18079504 = 10204^2 + 4252^2 .

It is a super-3 number, since 3×122201120³ (a number of 25 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 381719 + ... + 382038.

Almost surely, 2^122201120 is an apocalyptic number.

122201120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

122201120 is an abundant number, since it is smaller than the sum of its proper divisors (166499404).

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

122201120 is an equidigital number, since it uses as much as digits as its factorization.

122201120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 763772 (or 763764 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 11.

The square root of 122201120 is about 11054.4615427437. The cubic root of 122201120 is about 496.2399550023.

Adding to 122201120 its reverse (21102221), we get a palindrome (143303341).

The spelling of 122201120 in words is "one hundred twenty-two million, two hundred one thousand, one hundred twenty".