122311121220 has 36 divisors (see below), whose sum is σ = 371010401580. Its totient is φ = 32616298944.

The previous prime is 122311121213. The next prime is 122311121249. The reversal of 122311121220 is 22121113221.

122311121220 is a `hidden beast` number, since 12 + 2 + 311 + 121 + 220 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 94770391104 + 27540730116 = 307848^2 + 165954^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 122311121193 and 122311121202.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 339752935 + ... + 339753294.

Almost surely, 2^122311121220 is an apocalyptic number.

122311121220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

122311121220 is an abundant number, since it is smaller than the sum of its proper divisors (248699280360).

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

122311121220 is a wasteful number, since it uses less digits than its factorization.

122311121220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 679506244 (or 679506239 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

Adding to 122311121220 its reverse (22121113221), we get a palindrome (144432234441).

The spelling of 122311121220 in words is "one hundred twenty-two billion, three hundred eleven million, one hundred twenty-one thousand, two hundred twenty".