122168160 has 144 divisors (see below), whose sum is σ = 426810384. Its totient is φ = 31804416.

The previous prime is 122168159. The next prime is 122168161. The reversal of 122168160 is 61861221.

It is an interprime number because it is at equal distance from previous prime (122168159) and next prime (122168161).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122168161) 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, 60934 + ... + 62906.

It is an arithmetic number, because the mean of its divisors is an integer number (2963961).

Almost surely, 2^122168160 is an apocalyptic number.

122168160 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 122168160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (213405192).

122168160 is an abundant number, since it is smaller than the sum of its proper divisors (304642224).

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

122168160 is a wasteful number, since it uses less digits than its factorization.

122168160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2037 (or 2026 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 27.

The square root of 122168160 is about 11052.9706414158. The cubic root of 122168160 is about 496.1953358268.

The spelling of 122168160 in words is "one hundred twenty-two million, one hundred sixty-eight thousand, one hundred sixty".