122211210111120 has 960 divisors, whose sum is σ = 451056674525184. Its totient is φ = 29474251591680.

The previous prime is 122211210111119. The next prime is 122211210111167. The reversal of 122211210111120 is 21111012112221.

It is a happy number.

122211210111120 is a `hidden beast` number, since 1 + 2 + 221 + 1 + 210 + 111 + 120 = 666.

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 = 122211210111093 and 122211210111102.

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 191 ways as a sum of consecutive naturals, for example, 35290558509 + ... + 35290561971.

Almost surely, 2^{122211210111120} is an apocalyptic number.

122211210111120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 122211210111120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (225528337262592).

122211210111120 is an abundant number, since it is smaller than the sum of its proper divisors (328845464414064).

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

122211210111120 is a wasteful number, since it uses less digits than its factorization.

122211210111120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3980 (or 3971 counting only the distinct ones).

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

Adding to 122211210111120 its reverse (21111012112221), we get a palindrome (143322222223341).

The spelling of 122211210111120 in words is "one hundred twenty-two trillion, two hundred eleven billion, two hundred ten million, one hundred eleven thousand, one hundred twenty".