122202111111120 has 240 divisors, whose sum is σ = 443670729565440. Its totient is φ = 30037730743296.

The previous prime is 122202111111109. The next prime is 122202111111137. The reversal of 122202111111120 is 21111111202221.

It is a happy number.

122202111111120 is a `hidden beast` number, since 1 + 2 + 220 + 211 + 1 + 111 + 120 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

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 = 122202111111093 and 122202111111102.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 120208744 + ... + 121221063.

It is an arithmetic number, because the mean of its divisors is an integer number (1848628039856).

Almost surely, 2^{122202111111120} is an apocalyptic number.

122202111111120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

122202111111120 is an abundant number, since it is smaller than the sum of its proper divisors (321468618454320).

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

122202111111120 is a wasteful number, since it uses less digits than its factorization.

122202111111120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 241429882 (or 241429873 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 18.

Adding to 122202111111120 its reverse (21111111202221), we get a palindrome (143313222313341).

The spelling of 122202111111120 in words is "one hundred twenty-two trillion, two hundred two billion, one hundred eleven million, one hundred eleven thousand, one hundred twenty".