122043168 has 144 divisors (see below), whose sum is σ = 384294456. Its totient is φ = 36495360.

The previous prime is 122043167. The next prime is 122043179. The reversal of 122043168 is 861340221.

122043168 is a `hidden beast` number, since 1 + 220 + 431 + 6 + 8 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 90098064 + 31945104 = 9492^2 + 5652^2 .

It is a tau number, because it is divible by the number of its divisors (144).

It is not an unprimeable number, because it can be changed into a prime (122043167) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 138088 + ... + 138968.

Almost surely, 2^122043168 is an apocalyptic number.

122043168 is a gapful number since it is divisible by the number (18) 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 122043168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (192147228).

122043168 is an abundant number, since it is smaller than the sum of its proper divisors (262251288).

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

122043168 is a wasteful number, since it uses less digits than its factorization.

122043168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 947 (or 936 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 122043168 is about 11047.3149679006. The cubic root of 122043168 is about 496.0260565569.

Adding to 122043168 its reverse (861340221), we get a palindrome (983383389).

The spelling of 122043168 in words is "one hundred twenty-two million, forty-three thousand, one hundred sixty-eight".