122121120111168 has 224 divisors, whose sum is σ = 351162697216000. Its totient is φ = 37312773949440.

The previous prime is 122121120111167. The next prime is 122121120111293. The reversal of 122121120111168 is 861111021121221.

122121120111168 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (122121120111167) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 555039003 + ... + 555258981.

Almost surely, 2^{122121120111168} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 122121120111168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (175581348608000).

122121120111168 is an abundant number, since it is smaller than the sum of its proper divisors (229041577104832).

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

122121120111168 is a wasteful number, since it uses less digits than its factorization.

122121120111168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 224953 (or 224943 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 30.

Adding to 122121120111168 its reverse (861111021121221), we get a palindrome (983232141232389).

The spelling of 122121120111168 in words is "one hundred twenty-two trillion, one hundred twenty-one billion, one hundred twenty million, one hundred eleven thousand, one hundred sixty-eight".